Physics-
General
Easy
Question
In the given elliptical P - V diagram
![](data:image/png;base64,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)
- The work done is positive
- The change in internal energy is non-zero
- The work done =
- The work done =
The correct answer is: The work done =![negative open parentheses fraction numerator pi over denominator 4 end fraction close parentheses open parentheses P subscript 2 end subscript minus P subscript 1 end subscript close parentheses open parentheses V subscript 2 end subscript minus V subscript 1 end subscript close parentheses](data:image/png;base64,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)
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are the mean and variance of the random variable X, whose distribution is given by: ![](data:image/png;base64,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)
If m and
are the mean and variance of the random variable X, whose distribution is given by: ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhIAAACxCAMAAACm9KTkAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///wAAAObm5kpCSgAIAJylpff394yMjJycnFJaWlJKUu/m73Nzc4yUlGNaWntK5q0Z5hBK5hBKrXtKta0ZteYQ5q2tpXOMa1ql5ubWOuZaOrXmpeZCteaUta0ZjHsZOlp75ubWEOZaEIzmpeZrta0ZY3sZEObWY1rO5uZaY7W1tRkhIUJCOq1K5q1KteaU5q1KjOZC5ntKOq0ZOuZr5q1KY3tKEK0ZEEJSELWE74yE7+bWhFrv5uZahObF797e1krvY0IxaxAIGRAxa87Fzq1KOnNShK1KEBBKOua9rRBKEBmlEBl7EBnOEIy1peberUIIEEII5kIIrWsZ5hAI5hAIrWsZtdYQtRAZECkxMTpSaymlpSl7pSnOpRBSawilpQh7pQjOpb29xToxOq17OkqlEK3vEHt7OnvvEK17EEp7EK3FEHt7EHvFEErOEGtrY617lEJK1kJKnM7W1ikpISml5lqltealOuYpOhmlMRmlcxl7MSl75lp7tealEOYpEBl7cxnOMbV7aynO5ualY1rOteYpYxnOc0IQOhnvEAil5lqllOaEOuYIOhmlUgh75lp7lOaEEOYIEBl7UpR7awjO5uaEY1rOlOYIYxnOUinvpQjvpUIp5kIprYwZ5hAp5hAprYwZtfcQtbXm763vc0qlc62cOkqlMa3vMXMpjHucOnvvMXvvc7WUvUopEK2cEEp7Ma3FMXucEHvFMYy974zm763Fc0p7c3MpY3vFc4yUvUrOMUrOc0IQexAQe0rvELXmzq3vUkqlUnMIjHvvUrVzvYy9zozmzq3FUkp7UnMIY3vFUoxzvUrOUkIQWhAQWrWcaynv5ualhFrvteYphBnvMRnvc5Scawjv5uaEhFrvlOYIhBnvUkJK90JKvbW97++9zntSWub3GUrvMeb3reb3Sub3exAhOoRzlN733lJScxAAKdbm77WclDFSSvf33rWllN73/xkIAFJaSnuMlObm94yMnJyllBAAAFJaUlJCSlJKWpycjP/3/+bv5gAAAIBK1/AAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAcFUlEQVR4Xu1dTXLiPBPG48Q2kWHp3MHOHVRF6RBmiw7gBRzkW+SQSRWTxTDhjVNJ6uuWRbAdQC2whnGGh4QYYhpZ6n7U3frx4IILLrjgggsuuOAk8Ovrn9dREl2e//Xn64RXKhF6udcnuCltn6SCWBeCcy+73qjEBRdUiD5VIvPL3jyk501WtdfdPKZOKgGkTmovu3rIiefJ+hudPHxgni1LlHPGfyz78YDi+mLJWbc/KHUOdVDVQ1fPldT2d53wg0J/LOcrzwv1cVePj6Xw6yxRVEe9QAIarA87xLUTqT+dSB28l56X6OPuEIDUGku8V4d9QASWx/RxdwCpr06klt1LHbCbT3vuECj1Z3WILOGg3K4A1bxa6uPu4Kbx1m5UgkPHoe25Q9SkgkoM+6US/oc+7g4o9VEfdweU2h+WaPoSQXXYByBLdF/NbljizRFLQK/fvUo8gkpoDwV9iZ6xhE6ydQiQeuNGavfcU7fnDsG2ioYs8Vwd9gFu7NmNVEe+BNqzdgQ7BAeptYijXx2HG5Z4deK0OuAeZc8jfdwdWizRr47DgeW56T0d9cloz93nJS4s0QRKdRLHOHCF6/bcIZYXlmjATeNBxOEiCK3Zc4f4seUeUIm+5SXcZBCccI+DtJojlvjYZjuQJXrWcThhCQfc4yjiWII9d68SLV+iXyxR9iWDAFJfu/dQHLFEK+LoV17CAUtAJdw4keoq4ujel6jFMVjunnUcTuy5N9zzZ1iiZx1H98V1wz2Oxjgu2csmsPH6EhtgWX/o4w6B9nzJXm7hhiVGTnwJV/Mltr1+h2j5Ev1SiT5lL/vjS7Syl/3qOEonFO8ge+nI2txEHJi9PDkvETDG1K8+Vi+qf7kD2nP3/TNKdZMTdeRLOIg4XhsscVReInhbleOyKEsBL+ZjOB6XZeiacPpkzw5ZonuVaM69PDLiWGe4QujKT+GYl2pNWh67pgm0PDcZBCdSe5S93CoassRx7cgTVINSoEIxXqBGRA5qoAmoZrLlBQFV122k0uFGqiNfAmd0dpCXSKBwm3VBEMfJ0DVHqGomsgQLC+jXQtLJdKk2AKk9yl52wRIA/HB1xIdeFlaHToGWR4o4+MjLp1O4TMrZNhmEH0KIOelktDaaVMZBqJjrVwZYjIQqseKRsnSrOUP7+PkSnyoBvkQeHS3GAmjPJC8+zLxhmhbe5J7AgSCVPPcyWsjFCl1qI5AlaNwjVlOQ6pOk2rBENL1bSBlTVKImFVv12I5jEGNvAVedAkesj5ZiA6hmSsQhwiwfQw2LYT4NzTVNH40QITpQOSl7SGaJFJoDcDUORwQVIkYcLA2Lah+KBVXqyXkJQARBxyQZLMdebh1+8qNcUWQJwgWC5yvVaY+S0n4olVYc4WdQzxOMsowgcg8Dzy7P8uwKWi8n+I1EloDTsgwLS9PgVvby6PkSHHQin/HyJf9pq1aiWOsjK0A1UzQY21idxiRlQIAoFfCYJHDN2Uy/PAiih5L6XvYzTYFpAYTGw16foDkfchIm2HXSpLayl8dTPnv18jgGz1JpFUvCLxjVDCoNw7coAh5nyajwxsd8LbY1gSXSifekTmMj6RWpqWGIUitw6WVkliBwz1o75qLMO2WJ8BZ9iPQmRyI3ojX3kmYguwC87E3yXBv8xxioqo236n+IEIksLx5ZkuW5F+t3rYD2bCZjFl3pjgMOvdxoq1a9p1gQWYLoobxlYeX/CUlqPGr2MtBS7zyPoMEoVX/5aSyBgsCz1DEAS980N9RQc+5mYYQqVJbSu4mP2+kE7dkYcbARFGtj9im4wCYGAKn0DIKQLzmVJShSeaqLx1beS3cssQEmHOyknsYS7AlUwqYHSHBPJGgvwWOLy9oCqtkccXAwjE89+A++zcQr2Hjds4QV9wCgR6L0+lSW0Fje5ZTotquIQ12F1ThUAOzoeXdQpYyaCGgAWcJk8yqZo32JweA6N38CpNLnXs4hiCGzBFkqAIpNiQ3sWCKYS58TGqjFEkd3HOnwBSq/ZmAibqEoWxeJPDYm1ehOYOMZL/ADvqNMdIIGP2HSPqgEByxhO6vqQ04p+feaPRvBwrjMST10y5ewKXcdvIDQF1hiq1LA0i1kLYWGEIpmY7tBYokfqxoDJ/AJk/eBUi18CTpL2KxHB6f7lZIOsGAJPvoFTbBSI5MGtFjiyLyE8PM8aZrCdaUHW2Q/W5XCwfs4TSXMEUdN46vmNoWCKLV7lrCcoR3lNI+b7ksEKtXq5ZJQ3JYvcVzHMQOOWL+nL152++m+iFB3GBt8KTt7hS9MjuUl1cDmiAM03t98B7IEwZcwc48GdM4WLGGRoo2hzJajESYkRYyuG6XCO1g5HmAaNlTX7U2IJQSw2QKLeIpKECIO0PjPNgbiMk7IH9kUyVHEwQtJY8/azAYTgP5HiijMzNpB9pKX+QvmI1AlPPqweCqxiMZEwV6Q7FlFHFKPNWNeguBL0Hv9+cIi4iB7KHxYzmjtYLdXFXgoWBlmZgX/6zSWSMd67DMtJqRoukLiez5c0XAwj0KoVnH/27IPgWo2Wx5msbXmMBw6MCoRSeoGTiKONPaplbjcNh4Ja6gMczmaEccR8yV4MdmMfWLXRplOxfgHS6UnU9zzWMRePgINyTJLfSSxxCD4HAnlq4mXG3MOKJXc61tlL81lVVgWfkrlatt9LwNSnbUiDuuOQ5Te9HrzKZAl1QjLQbDQL8s77y5Ffy/z85dYDX9FtP7zE2jPBIr/9CkxlxYLU+nAl6Dn2xz4EqIYkzVCzaW2UQlVGcZytCIOO0MVUQRakK2xyoM0wjkT3mQbdOxBEKo+Db4Vx+a8LA7gwwmpautAjTf2i1UtKM3BjtfMyCQ70rCLOEgeyjx++a0PhXHU1tKXAEQQExqlnjRfIlITM/IF6hQv4QVmMNsZqS8IPiDuVoPKASokdjXwYUrE3ABUM8WeoeO4U208fyJOoXHgS1DzEqxQDvrzIIAwzpxYp82XYAHTE9SDOCPMgTwp4hAP9+E6Ch+wWlgEL0bR+u3BbDcsWevGSSM19esZnE0rdQcQ7Zmvp14JBRTjl4yQJAap9NjgUXoZYRxJSaXkJXgM/CnjAjH0MmNpaXkJMQRxWEwWjiNCjWG+qMYSZAPpGHyYH6ESNHuGfqpM0xI6OP3GIUAlEMc4PtI0zL2X+zQ1NzapT2ZCzXvaIIuNlI0ka662BEeDoQbSyCdNTOlktdfJ4EVGGflrgMgS0Df+hKAjy3+tKZEEKhpJ6kD4C/SJsoUkdUdm7lnqObMaodlRorHEc/qEvXuWSQpHgFRQtPPfj0NkGa24NWDj0ZJKbARcHI9I14aKRqsEERdxHMbwbO47SHkJ9hbHD7fwAKkPt5vJSIdQiw0OIr1/wN4opFVXa7XXuVRC+sL2q7HxCNVmCZDqZhcaV3to2/a3ZtTiGGSJM3Ucc/lr5SjisARUgoNdaBxZG82XsAWyhO4Lz8gSPMvVTgQ2QJbo3vJQqsWYJREg1Wa+BBVuWKK2rBBZ4sj5EqdC+PapdKhmBxrsRqqjHe2ovoQdOlvHcRKClLgwtgZ3LEHOS5CBLNE997jyJbZSkSXO1HEcA7Tn7snYjT076pMxe+nAlwCpNV/iTCxxDNCenUQcbnahoedE6biwRBNQzQ4iDtu51DS4kerIl6hJBZXo2/043PgSbliie6muIo4mS/Sr43Bgeb3yJdzkJTDiOH9e4hg4s2cHGQQ3Ul35Es25l2fKSxwDZInuq9lNr9+rvETTl7hEHCj1H89LdLCO40yAanYQcVx8ib8ke3kM0J77Ehug1N7kJT7+jllVRwCq2YHlXfISSuol4tiiT9zjKuJo+hI9y0tcxjgcqEQr4ugZSziJOP75vESTJfqVl3AQcVitHCejd3mJ/o6EuvElLnmJOkv0q+NwYHlupDrqk9Geu1eJS16iCZD6r+clfvSaJbp32dzYc4/zEn2bL+FmjOOSl6izRHXUCyBLdK/BKFUfdgiUStmPzBLYeNqeOwQu7dn6EsPqqBdInASh184UzQEBP/8BlvCj/mDoeXKkj7vD2IlUqGQHUqO3KRD7tX7RGXB7r60vgci9K3j83bh6gWICfsFRp2Wt1m6DzBd47uxHrwhXO7J0h+0684n+2wGuoE4BW5a44ALE5v4woBK576983y//+geUEugtl6vae108fKDi/Kn+zukPXVaoVzis/+O0BzYUEIXEg27lgtQtS5R8+YOzx+UPeIbDv/UZCrn8uAfXZ77E482/Tv2Lz1AJrwLEw4vufj5ikDqHasVX+D2NrzzuGYUJiA3CmrQu/lZSt75EFYQ6CJccIHUSLkIc0xupalfJ7oNQlLpliXF11AuMgCWchIsO9pdwFITWpsR1iFpOFFSiT9nLa1AJJ2OWbvaXcKC+fyZ72bN1HKRqTsP73+RbXruxZ4djHHqjMRNmWAm0nHpzjOMbjoQy9Ja8BXWPG5Taq/kSI318AO+PQsCZxHuatlnCgSq7AtGeU9z1kbhjKaBXq71w7iXBvWSxlJiAom3u3PIlviFLiGEJgbYVS9DGV1kSRW9EsSD1jPMlgvWqVFt0XlhCIQiCZPJ5lxYjyPbMktzzJsT7IJ95vgRjuDk31S5avkS/VII4s2G+sGMJitTqdgHU2QR07rECkSUQMZ0l/oX9JdLMm86JV0aVykLfB6UgsoQjXwK3I6SwBECpBM0uWnMvvyVLzDIrlqD1+owjGRNVAqSeeYa2BUu0fInvmJdAlpBUloBKIGcvoZqJKuHI2rDXp6lEcLwv8f0iDoAlS5DvOU5XCRupFvgjLNGvjoPOEgtqxAFSHbDE+WdoI0vQ7jBUl/ptWULYsQQ5e2nFEmdeE4ossTgq4viuLCGpKmETG9BVwuGaUNoYx7PqOGgs0dzR7lvuexlY+hJE7rFlifONcSAsWKK12qtneQkaGdtEHDa9Pj0IxT7ZgbURxzgAKuI4zpfoGUuQMoKBpS9B7vWtWMLBLAzriIOmEq2I41vuL2EZcTjwJWykWsAy4lhcIg4NW5Yg27OVSpx55bhiiUteYgMbX8ImNji7L1G75ZIB1UgonSUu2cst6FJtfYm+joSerMqC9rV0iHRPC9FZAjoOSW1mm72q6CrhiCUsfAlUCaJd2I6EBuqxF6xYica/qzUhJ5BP5O8Js6j2HAToXs6IZQCp5F7fiiXOPMahgtBu8xIsKmJAUQzhUcR7rk/Ewxj+X52JOsnxlrvwofXRNpL+3qPbWM2EcFEUBWi9typiUtCBKmHBEqE+NMDhGAdJJQTe3x5MaKwaxYBWxLG33CyuFiovMplNJ95uneC3fsJLqb5+MkXr5uo+2ousOCEq57v1D1mC0D+ndwuAzDKfZCNke+Ypznr29/ZrDWBZqSrBxWxGvLUymSVmvoR2k4vsjlAJrYhjf15CwL+hukSazmaxl8U7Cs0KP11C5x+hGsgEz3gWuA1EOqN6dzvA9nASVDMlL/E4SwUAnkk9B1wliSVYLBdwmXkmY4JcmzgmzBYL4n10yb4EAy3DSpjNCKWgRxzgpOXDSslE7uVfKUjEfsWjXKLyqMNBAj3HaR4nl9N9KkGODehAqSRfIipL6ECLsqSsGgKpNA8lDcO4LIbj2zAiaIWFLwENSzIJQIslDlxekn/67Tg5+Us3ym6l1liOy9HHWIJlIuNTVx1z+bSzVFDNDvpnstTgeQCU+ky7OqovgemD8J0N5pK06ILsS1ih5Usc0CRM+GiVSFElWs42i0vVVQCeBVyZqoLQD0/oMio8+nJnbbpjCSdSaTvagYHewh+23RvoECxYwgJ0loDeYqMS17gTTlMleOz5+hAAVTAEjoj84vTq5VKOdkkh27MV3EhFayNI5ZHMb5AdHh8WeWHu95ev5LyEBZq+xKH5EtBbTLXJK5ZodBwszOsRLBLlB0vuNk4o+/jyaPARA6g34K96owZQ2l+7TMGZPZ9vp/0ke3mqqjiIvElpjNLcsAR1HQcbyYmX6SYAlcjCenNwiHsfahn0e8/Lypty02vgoocWGvSRlEUZ47k8Lm/bzYymsGueCNpz94131p32Ucv1aQlF4d34EtTsJSrk9B7/zdL0vh2EcohG6mMqKTqY+ec5QTy9k3f1X1luE0cshTJ4OXDVPIa/7bGZfaaA9df9uAHac/djliiVkJlJt3oAn1gZZyq4YYlW9nJvKfB+ovES/v0eZdkkD5u6A65nYykRm0Erb88JHsW8hZoFCF/tUwh9KKbDvsyS3HdrGqy0Zim6AEh1wBLEiCPK6ypxY1QirBo3vgQl4kCF9DEMH2ee9+uhyWnpOPejpm3B6TtcZhT/5SseIRYHXSgxDR6GX/bFOMQS7XNPhzOp5rwEi6AtnvSXQ8eRFaY41A1L1KQiS+xV5QDOy1VSVMppK2H3dSUcS6akKGoDXqjdPHdeHr/ZqxIO7Plg73k0SFLROussYW5uN75EM+I4kJcYg8KkYoYJeNFWeHAB7vVhBdSIiQ2l8d+4c+zOy0Ol3TW65Mye3UQc5rzEEjdH2VzS9ZegbgfOyhLiVmb7cwytUWI2KovY/1UmG8+E/YedQgONgAXwE7zXPWktYIm1PqzDzBJ8VMTtR2yYWUSQukYxjR9jTpsUx6hxgE+WQBMxqUSt198NHkL59IWrH/WIHg+mXFu+xL5yH4qJnnnh5b/1CwBL/PgZ0xifn2BxprDY/GTZqtX8uD/dzvE/JvwXjEa+wMwSfKy+tQmDVSFLHO71eaklbVGYeAWlGrlniaPGG18CWOLFVFYzS+woK8BAWMS8BNb/vv+JcjKtO4Xh0z1EmBBQyc9aEEkbaSu2AZ88L3dZcPKUP20y5Q2gPR+uZgiXk/YjOVwdBHtmSkxNYpoYB1lJvkQggG03Wg71UY0lH4LRl9jWQPVTPQxp0eZqr73lrkXMX5Be1eexsesqDQW8YhMjQgN73pt+UccbdMM7eQ611ElewsA9xwCkkvIStTEDaAyTornyJVYNltiTl2C4Fe0+k6xdCJyZPEGvAcCuhjZFAYEJ8e3lMb78/CSYy27VgmruTV6CKBV7T30a+FbmSTdGX+IotHyJ3W24DMHzqTFBE6ASm8EPuPjyvjqGd/MVNQ5lcTHakiCL/dfPkHyvF+PMnt3se0mZL1HTA6DljVuxH2eMOD5AI552sbqCWiahjsBlmG4cCGhK0hpWJkQwD/0RFiRlKepTcOtv3AomSi9rpUo13NizmzEOki8xGMzKXP6HisBmhSd3X3YdOPzTvUoQWCJgHCLmkO8rIXYc2JIQeUz0IbxIqgH05ojnDgTFSozkfwxzYcnMx9kCz5zP9ZfxMs/3hHjOWMLRfUIJUp956eXYxqzMvbWZVtywhHkdB49LUBtPFnqW3RcAHwBLfMQliAKo3oKFUzzOxqWp72A+iIZWD5IhHOCkvAQiaDUuCuCTfN/kbjcs4UYqkSXUOACG88tMjfmY4MaXMO8vwYcLiZjKPa0rbvKFGLACzlDnKTUv1DG8MqVbBiO5qHRS+FJ9fyInV7KqkGVS7l0p4YwlzjdfYvAcShmnEDmOJWVC+R+JOHbQ/DMXs/l8LmZf8tgabO5DbxHACTjeKWbYTsFcjX2KmXp1EI9Cx8nwGXXyMsllWr0Vyv2JQbTn7huPbM9WIHMPF/M4WyxkIvb20zXsGyQ+DS1fYl85lKrsTYMWxAWoNIgwq6Z385/ZAfpElnAzX8IN91BXsqRFUexaErEDfyTi2JOXMKAkb2RPAZRDTe/GUMbfLxiquTd5CTfcc868hAHvJXF/Exo+6y/N7w4ku5AlnNjz+fIStjhXxGFGEN0fpUp7EG9UgseHwhWyPafVTXKNIwYK9HVZePMFqlSHLEFXCb6OwjD+HJ7ei9bcyyObdvlozD/QEeV5wRh2vQdLT2UJjoumMSAmtR6Ze/CWDjZSHWQ77FiCgam9ZJnZ6nHupd468WiWgGofG2NNOniSimVsXAFCZAl1CyMFOSKoLXGWJHy9SryA1P/0G4fgkCWovsQjLh7Poig1VgIx4jBAlGGXXQfYYEyZg2C25yAdelnplzg7heSNglRKBoEn4Pr6q1eoZmkabwcQpdrCgiX4g5ffrEgntyKOIxs2WHZtAx9GgcgSxmrmRT4JGXtMUScoCk/knmSSS7Fk7BbETs1JJaJUW9B9CRb/8mLGSQtYu2GJcwCq2ZyXeL/WU75TUH2iSlDWcay9aqcGjjfvMbcKSqXmJSxAZgncHWQzRmBEiyWOy0ucBVDNNnmJ0MsonRtxJDTZjN0wUnfuyNqoa0L5b4/gVm6ALLEd4zg24jgHkCUsvPj7bE05myiVcW08NJUAqWfMSyiOoFdV1zva/TlANdtY3gNt8y5LqQN2lxH2S3DEEjRfQtxC53Yow9NCN3mJc8CGJRifj8kqYRMbsCSjbEKFLGHBaFTQWKKauYKjkoJ0ZR/btVTfmCUiKXEAnwDLWVX/yc0OTAfhiCVoa0Khojwvl3IxvSNlj5oRx3e8H8d7Eqot/vLCnKWppFr0+rG3bxZJAyD1fHkJtY1UVpal7+UhIQPfijj61XGQ5kuweJJleMtt0n1ebfaeA9kFSSNUWR1YG82XiKDjyKKABXPc4sFcjlbE0TOWIM2XmCVJMkJLoVA8SKX3+jweUnYNVFLPl5dIfnnTn6qmcA8xaeTAFkt817wEw76Dknomj3EAREzSMoAja6v1+geAq0M0+ycUu2j6Et83L/Ee5l4+MbO8jdTf+dXemaFNIPecLS9xnX8uy1KLYky62WIJB6rsClDNNpbHH0ipZxtfYkVOEjtkCYJKgB5ofYQ6m5SmYLzlS3xblhgMgtecMOsZpBJjAyYKbUFCTx7eD2QJm7ISQWQJqChdQDjMjQ7xP5O9HHB5aNreBvS8ROLHle48lsa5HQ5ZwuxL4LJCvaMEmpFRf6k72v19sGSJWXFV26t1L1AqqddPV54M79X2KYXx1hIg9Xx5iXkoN9teoS+hDg6BbZcVIkt8t7wE40JUq0NuvclvwtWhVIJdcDUBQ4PktLqwNuK9vVBz1D4+PK7tPLkXfNVnljDmJQJcg6YmaMWTW05TCUqvnz5pdUCQVOKc8yXgNNxLDCPx0FwJOLhbY4nvlpfgaoYkLjIt2rtj7QbRLmZ44wXVawDMtwNyZG00X2LwnsTF/6CPGwJHECqBgwZ947zEssjzLMcNmh70OwaQpAKY8tcO3uesBuSes+UlcKZ7EKpdqkgm32uWMFteIFJcdQsgcQRRqjUcsYTFmlC1WxjpplP18VVUieqoF0DvuXtSw5SvE6k3Dgj4HVjC7MjYAqVuWaLEuyD0BCPwJeb6eC8CsM3393dgTv2GCVAJPtfH3cGNVDZHltDHBwDXDvXwDBWh3zgMlLplCRxV7wWGJS7NyMuxfr0X1QnwXKgfI0DqBKUbgGLhrPrPISiplK+3BI7lDeHLDV+vgEUuhlAK48kgdbva6wIq1M0Bvi+2LHHBBQralxAhIgpHb+EofFuHb+H6DV//dcf4UpUVAUXd+wtPTYyID/g6LWPH31F1zvZtfFrDKyjX7qfqgYCXnf1+4nBtwXEY4u8Gm/LsfiDWX+6AccEFg8Fg8H95JcYx+pkbnAAAAABJRU5ErkJggg==)
maths-General
Maths-
A random variable X has the following Distribution
The value of ‘K’ and P(X<3) are respectively equal to
A random variable X has the following Distribution
The value of ‘K’ and P(X<3) are respectively equal to
Maths-General
Maths-
A random variable X has the following probability distribution
then the mean value of X is
A random variable X has the following probability distribution
then the mean value of X is
Maths-General
Maths-
If a random variable X has the following probability distribution
then the mean value of X is
If a random variable X has the following probability distribution
then the mean value of X is
Maths-General
Maths-
If X is a random variable with the following probability distribution
then the variance of X, V(x)=
If X is a random variable with the following probability distribution
then the variance of X, V(x)=
Maths-General
maths-
A random variable X has the probability distribution given below. Its variance is ![](data:image/png;base64,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)
A random variable X has the probability distribution given below. Its variance is ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAmYAAACjCAMAAAAXSCKWAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///wAAAHt7e/f3987W1mtrayEhIRkQGc7OzikpKbW1tbW9vSkxMe/m5mtzczE6OoR7e2NaWkpKUoyUjIx7lDpKGXtKtUIZta0ZtXt7GRAZteYQ5t7m5lql5ubWOuZaOpTvpeZCta0ZOuaUta0ZjHMZOlp75ubWEOZaEJTFpa0ZEOZrta0ZY3MZEObWY1rO5uZaY61K5kJK5q17SpScnBBK5q1KtUJKtXt7ShBKta1KOuaU5q1KjOZC5kIZjHNKOhAZjOa9ra1KEOZr5q1KY0IZY3NKEBAZY621EHu1EKWlnBBCOhBCENbW3ubWhFrv5uZahObetUpKQrXm3krvY0pKe1JaUrWc3nNShIyc3joQELV7nK3mEHvmEL29xRmlEBl7EBnOEAgACK2lra17c73epa21Ma21c3u1MXu1c621Unu1UmsZ5msZtdYQtQgQCCmlpSl7pSnOpQilpQh7pQjOpUqlEEp7EErOEK3mc63mMXvmMXvmczoQOq3mUnvmUmtK5kII5q0I5q17CBAI5iml5lqltealOuYpOhmlMRmlc+/F7xl7MSl75lp7tealEOYpEBl7cxnOMSnO5ualY1rOteYpYxnOcxnvEAil5lqllOaEOuYIOhmlUgh75lp7lOaEEOYIEBl7UgjO5uaEY1rOlOYIYxnOUinvpQjvpYwZ5owZtfcQtbV7zox7zkqlc0qlMSlKjHMpjIzv70p7MUp7cylKY3MpY4zF70rOMUrOc0rvEEqlUghKjHMIjIzvzkp7UghKY3MIY4zFzkrOUkI6Qinv5ualhFrvteYphBnvMRnvcwjv5uaEhFrvlOYIhBnvUoxK5kIp5q0p5q17KRAp5ntSWrV774x77+b3hOb3GUrvMbW95ub3teb3ShAZOta97xAAMea9zkIpEN735jFSQmuEc+/e1r29nBkZCEIxOvf33r21nPfm9973/3uMcwgZISkpEBAAAM61zmtre87m1ikxQntza721tXtrexkhGSEQIf/3/wAIAMW9vQAAAMPPAzIAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAdoklEQVR4Xu1d3XKjONO2wPyFKMQmh74MrsJVOtEBhzkIF+Cr3Ct5v6qpSpUr5ZmpSdbZpL5uIWPsIGgSNJvs6LHjyBiaRmo96tYPzBwcHBwcHBwcHBwcHBwcHBy+KOI0rdL0yX26z2k+Y64tqw0eRNE+iqIN/H2+Txu6AXZD+7zv05JcC1IxV2sM7TnuE5WVQptWG1wyB4cJEXaaWclYlH1S7K3oFtm54gSzWKenhBV1E5C60+kpETKWzbVptYFm9hAD5uqt/j5Jeh4HjJVvt380DVccdG3/SBq0Xe9ZWOnN+t+H0/iB6mJm1Fvav747DZ8qE/SGZvsH0/BXRN1mtoXzVTr96ZAz5unkhPAYu9bJKSFClnS1Fx+FHXWhBuc6OSVeI3Yf63QbfMlYodOfDpDDjzo5IR6tGO/sFcysqyJ/FGAQDzo5HfyFHTNLDWzmA5vZON8kADMLdHJCXNkzs1ednhJWagUH473R6SnxtGdZF5utwMw+M5tNb2Y+5LANM0vtsJkddZFdbHgOTz2+2Wdms6uuzr6PAaR+JTazYmbIZjaK/cLkmzk2mwhfi80s+WYX0Gh2ZQKa2R/mm0G5WQgsvh6b2ahr2Gg6NkPYYjNLkeYXYzPnmx1gyTeLvxKboZnZCAGg0ez0zTDStBHZToKv5ZvtWNKVwx+EYzPrsOab2TCz25CFFszMHpvZyATnmzWwxWZhdw5/EP8NNvvskaYF3+zRivFiCBB+Fd/Mt8VmJt/sz2MzbmmwCfvNHJs53+wAkGrDzCDSdL4ZmllXJrgxzangIk2A6zdr8NOOmf1wvlm/b0bvN4uLdQWvIq+2vv62vilsNBUKX4vNXKRpZrNxkWahl7CEJcpaJ/htl1hjQzQzMOeJ4SLN2syssJnBNxsXab5CETG28/L1Fr6J64gxmd/YyFwFx2b/FTYb6ZtxL2Rsefhyschkqr/YwCjfjL+maUqZjE/v0OAgEUHSYQSbxbVYmlGOMzN/TsmEUb4Z1+qm1bDCU/WbcSj6Umd7LgthY5FFg1FslmZhGBIuZQQ9FGG4ew7DhJRB9H4zUYLUZBcuKJk3ks24twsJS4jGsJkon0FfzIi13mLGZJFmxVgYYHbyvPSsGtkYM0uD4B7bc8pEMpBKKjeeZygScF8Q+Izcb4brAhU2AaUpGNloQnkOT70Yx2bQgCmUw+qafLPR/WZVtlFHiHX29/Tu+SnoZlYl4R5zghA0k2f0xeH3MEnC7yA2uVjpjWakO5JvxuOSRUmC63FJc3HGsZn/KknlOYLNRCpBXUDwTW/pwTSRJoCncCFwRH6fd8mbFGBmRN8MvKgHLDhKgVCNNw7v0zjGywUCH84j7DcjsNO8jFgex3GO5ktRd5SZpbhIfVjXMWwGrhEu941jStM1Tb+ZAhxR8UJ6Z8Yde2+Rt/eJ8/yHSvAiX5Osh85mgBTNbEJ6qIJAOTmVsrPhI4i+mXgsc7x4gcEUQY8xbMYvlK6E8hzBZkFEcgVqTOabqSOKVL659Cp53oVn7+XxlL6A/FqstmhlEdGLQTMjN8xPaGaUhbPEcvMOQXSavVDMHSNN0lX9U/+Dxjui5PwIM1tJFoGuk7IZL8OC05oUgMk3GxtpwhFQY7JF8YZCBQ4PnLyL6umoXwwXxqJy7s/yHSTIZqaTw6jQzCjETCy3NMW+QZWCPBo+YvQMDSg/Qjs0hs1EmBVQOlP6ZnHwvMnkgnph07HZrFiCTzw6xoyDEnJgk/KqXJbEGJXumwHALZiUzVrwor+GY/nRowCLjJQJdHXn+aLADqcp2ewW2BEQVBVJWZNv9o4ZGrzYsIwQdZzC5zzOvu/S9X3OOY6IEmCFzUZ2RAGg3WiYzYxxowBbX8h7SsnR1eXXWUW9WQWdzeqQmL2EBaXMJos0gc3k925Zg0gXd/JnTifCcWaGbEYpkFFSASKIQsLlYr8Znc2KoAwzElNTzYznZcFnW5L90NmMV0VeG1pCKbjJfDNRlQljf71lM1G9xfkwTcFYqZMUjGczQqQ5eiVsxaKAYBDEfjMATyv0T1m2JhQclc2Ep7KW2HNAZjMAv5JSQpnfEzJhMt+skAUUaIesiyTcn77DUJ7thmZGdraUmVnwzUDqODPbBytCg0GfbwaNcN2xvqPkPNHMgHP+hn80+xk1CjDjQgh0lAiUPlG/Gc/ljXh9gfr9pify9cG78gJ46c9H+F+ckR6a2bCX02AUm60t+Wbr4IFEUvRIc1X87XmQ76QKTlW3rMeCiL72GDZTqKBSEMbGpmEzXsjAn8USSnQUIdTYqrt8jhihQjMj7658s8kjTZ5mxKia3G9W4wf2pAZimKxJ6vJ5ENRqwu5TsxkixTIfdklMvtm4SDP/hX4gDsu9x8xECaouRpqZTg5j6n6zGk8Jo3nqIyPNmR+DnUXloAnT2CyV2sqIvvZoNuOo7vARU0Sa/KZ8rC8Gyn+UkjX8PAieM0+XBc8H5z3AaUb6ZhT7gXKjG2/BEsr0DACyGWFM84gnrHXDR5DMrGJhrob3rjA+e/Qu9HYDxrMZcQlFn29GYzMhLpoRJiwpcvkDwInk8MFnQrJNNVNNhSgHZ3iMZ7OppzyI62y4Y7bG6FEAPEIOHkFT91VCwKVwBxy5HxzpH81m2CEXDRvKh30zsZBlcZAAlx5pliYhLuUDr3ABAVBvGpfqjHE8rZlZiDT5Y1lRq9P4dZpxIjufPHMKkpn56UXdhbTOwP2thua5voPN+IIyNmbyzWhsFuc57MeuawmiwEctsCCnjMkpQIR55wVBjGzGSm9R8HWxrrrM/gTj2Yzgm43oN5sXZZ03PB1u3Eav04SAiKDH2MAYdrfhmwFBhIQK9zE2S7PwecOi53rPNMMFTi9RlFF9EWgeor0HavLyJXoGVptLEDHY7o73zSZlM34d5qutzzl/yobNndhvhuLqGQ8Bu6OU9EgzI9EGmc34iusmRyw7H8Z0BpNvhpHmMAXERY5rMnPNZkhF66rI19SRTQFsrpZz+mlV5WCcHMldTtpoQkUi1VAyPeDyGhmU5WKxyAh6ECNN4YFA5e9JRhm+GclmxJCOyGZ+IfXM7KoMKCtvpog0J0URhZRIk9xvlkJxgOVWxaDHBztSjDfONyhRY/gI4gwNNfvyEuppQZymYsPMyGx2E7JfQCkXIi1Jz8L5mG9mAV403FEwgs14gG0mi8IwHxpmIJabHjHWGD6CyGYQKTC2gZCQ2FEyls3AfihDIUTfjFd7yNIwS7eCVN8/5ptNjlV+uRsukxG+mV9d5zd5nnveYK0jllvq5SjxRr3yYZ4istlqXYA87OIixk/jzMxPc8IaDXqkCfkKql4Pi6zx8X6zSfEjYtFw/DCCzahtK+w5rtzIGN9vRoIddalsNhafjM2g6ZjWzEYApNows/H9ZjTYMLP3jAKQYPLN3jF7dgqI3COEWVbMzNaTF9z9zQCfLtKkYIRvNgJ2ONLd3wzR55tRpjX8K7BiEBZ9M0qkORbON7MONDO6b0+FJTMbPUODiK/FZgbf7F/rN6PATvPm2Myx2Qns+GYW2cz5Zj1jmn8Wm1n0zVyk+VUjTQu+mZ2m2PWbIZxvdoDrNwM436wFa2xmw8xcvxnA9ZsdYNE3c5GmizQbWDIzF2kCTL6ZizSngmMzgIs0G1gxXsdmCp9svhkNVgzCWqTp+s2cb9YCSLVhZq7fDGDyzf48NrPmm7l+s342+7RmllsxCEtsNrfTaKK6Fgziyo6ZpT1jmvnW3/r8k71QJ6jIQXvbNC+kB/g/4RtfswrNrNk0yRtfypXkM0jh3wQvfPsrbDT/4bjWeYr3QazffYfFutG8D4JF8PmwCDLGLpVm+DHVXxAyluD/iSEjFi11ekJcgbqXOq1xBZfxgT98YSZkWtwkAJH4J1/MvpmDw3S4N/lmDg7TobvRXDImvdzD983DJ3qjStBoZt6D+jLVJ7xR6jUmYcOE7wU0moGFfER1z4Sqy2iup0lQ0jqBUqX6Db5//N3ILQ2+GT6u4NNGmtdW+ustRZq3X6jfTPVRW4k0I/Y/U6T5mfvNLBgE5LCNOSkxRJrE+xWMgp0ODXtm1vmIIAwBPvVEIP28tgkBUikPER4LHGyyNKaJN/yfFshmNord9AwON6Y5FV7BzLrckg/iHyvqEh/tNBpPPaMANs43CcDMvtSYpi02m17draW6Bo2mm6GhYIce6kbTQghgaUzTEruYRgE+O5tZiDQtmRnON/tSkaaVurZ3s2drWJuhYYfN7JiZrRkafWOaf55vdqWTU+IrzTdTZmYl0nSzZzWstRd22Ixf/RfY7A/0zUCqDTPDDo2vckcgZWZW6lpPv5lbpzkFvpRvhjfc/t1s9pkbTQu+mZVW6Av6ZlbqmqHf7M+LNO2Um2ovnG9mGgX47JGmnbs1WjBedQ+Nr8JmbmVTG1bYjINUK2zm+s0mX6fJKxtB1Tns+GaWGk236hww/o5A6oF8DfRGDV5l180OaoPGR5u40xN9Ld/M3UPjHes0eb5cAJZSvYLTDCykl648tUPprWBDqtIL2mPKenBzciI7ZmYx0vzj76SNIUBXXTNGmtzbs7sXtsl+ZVkWsnbx80oGfCaCDWN3bP8TCWj96wXSLPugmfkPi/bcSytmZm0OjGMzM5uZI81Vgc+TDMR8LuKcReWx/KtMPT1NgBVAFqjtPL3ERS2UJ3v2YnXyPL1B34zDa1v/Q/h++5sJg8bbHO5rWVoiVw8gM4kf8M3g0OOl+aApvOAToeTiuTrRa2ZKzCHdSMUtvr+tfz2e9QgKm+F1/lPLwS/4uZ3xgcnM77gj0G3EQq8+JsVH6B9ahLzUW8VDwjY1f8WPUeIVE7QZPG8R4pBB8PViEVx5QblYQ2byIgg8eJWLoitrD+inB78IPO9KX2BVi78KFgvQKkXxV0FgeNxqX6QJqqFmXp3T4roMlKAFZtgqD34+qm+dTUGvureg6k9PPWsYSmOxuIKvoCz4Mau81N86C2WQzVY5Snv8GZQBXC4vFpAPRh2PeEek2Vo+UOEjTK9VkqfLhthw9V19Xo/tp2H2NFwcazWaWa/FeMklUG50mXhY2fSDVi9DfKq6GeZy43Fc4VNVGXtUl1hdXiqRm8sQ8qjK1E9hUnZaU898M67yD5A8oVwRJHiWKEGpMx6oHyN1jg4Y1RVxDIUHqBuR+UJJBQUvoYB4mdXq7rtIZJjNVkGSqOPDUMYz/2f9UFzQsa88ajPrygRzpIm2dXiK+hpzos6FQl4frKxlZsEm7y1aMtLdQqcAQ2zmz29TydgyTVElX+TfQU2Z3jYKdqGHHualLingbgxsRJqCCqCEEgnhNaTD4kfceak9bFaoQkIo59WPUxQVxMo8+Fydo4zVRbyBWd08zMAdRmTIWNv4do3aZ1UKavD5q1a383n0g2y2rXVkUfEKl+trHW+7dTziPWy2bw5RtVFdLJz7WD14xl6WFTTiRUl5OjwFt8mpmQ32m8E+jf4iDH96gy03HGEwsxguUz7+9MB0N4+1nHQDJnewHiibzOBh9IxpijxkJbQ/IPXQJMxmkO1N+1OxzNPNdAeMZgY/hNgUo9JQCIgCziE132yLMDo00+egRZpwAnk4HrIm6mbxE4x/ygmHEOBgZhcvaNewLb3ftGa7rNQl+iuICU5dw62Yx29wYjBC1LVMANo/QKO5wgZQAQxiMNJsGQ0vskMp9sA834xfZJGifFWPa+NdwwUealAs2bPZNzGOaaYygnYHpIaQW7pKtF3i1XVWe1edMLEZF0G0w3YI/oP1ax0LULfOTu5B/TDW0UE2A7SjQ34aBBoxOtLkefa9yTc4OlzDWSrJsqcWC8feC5OrQuZn+csf77Ps7H3CAzyQJaoTl1LKdibHl61KM9LMcllQONUkledlkao65KfgDdRSgceXurBS+ZJo1uiC8bkAvEpv1X9s4A9mBifQ+cGDskeqkc1uSy9NsWUH3/9oZumdrhXYH/XYVeAKJDb7p1UVgJDPuk670eebtcu/AUf+Vb+I9bpkmcqf/LyEUGwevKk1qwewnnM0RCCKHPKOeTGvfdi2SGh6Ng1dUsysKQWRy7/7iusAo7OzzaImh2Cf2iCQzVRhqirWmVMahH6zMpL62o5mFnvLzmp+gEnd4rgVYrUD4wKbLZVXiVzWU+eobFa77dh1RWgxAaN9M8wIT3DBOQRwG2wxYdubcldOW4f3v+X87Vv/Nnu930d43LXw7tixIVGIs9ZD0OF0Q76ZD/tgfnNoMb3+KOgA0yiAHxzNpCnbCugai8uPl1GE3SZGYKT5Q6e7sZXNCQ61e8Wvf637L9FgZlXYOAhQCI0TXbOZ7202rYj9DUhs1pgGL/bRSbe5GaP7zfCHDJs0CYYQFqiz8C4jL248J8QanLbRs2/FusgLEO8BYxbrqmrrJUIWPen0CDa7LUtqFGIO3dKnQ8kcRwrWUG64dS29ouo1Y4w0ja2Ugi9/HU6ALjH4ClW57G8xzeoKjCdrQFVItCdT+2bci5jXqwuVzdA0+FWZF12204HRbIZhVXSPTtUvKes9OkbtUmz0hvTtBLS/ZXF13sMFUVl46psNMRTsk8/mAXs+i0LM0PzXC/AS6ja+2ijf7DYYbDSG1gLEF1Wm3XMoOtUV9KOECqy3GGGsFQ3Su50aWAaAuiVf5WzT12JS2Qz2Ae1EIQmBlYbJN8Nq1clGK8iIHONA1XCqTWBmu1MZfqEaTf2tBRzxeAP9Ww0ws7vsvL3wryP2qHMMQGAznFyax4sNU3xLAWVlEy8zTV21b5bKclB83yjAzOeijPbHoBU93wochLCfIQFm8m2QH/ujgc1KcQNcNqAuhc3QNGAfLxvg2zZMbIbM2HW+OEjC80EVkbG7k4Dezx+xj+nN8b5/Uy6WJy9o1E77AuKbsNV1dMBpnoKZUfrN/iojdvTeBzFsvMILDpqt8eZ4V3LQMFUlNN5DY+UtIJ+w1/cQAkC2l/CXDZfgoJkVQd6ULKgbBkn0cKyqnSD7ZvfBz13U7wqcYKxvhtXiLAvEOoyW7VOKKvNWUGhvzXQVJJenSLLk7DRQofWAaAtvzGyIzbCyqwIk9w8P08P88XhJa5w/AFgM5nW6Y5cmWxflZZYh8R/yGpkCEa4HDGJQXV7tWraqpjuwpIoH1KX6ZojaMadhrG/WYWZ5+LKYtzm+yKBsIRfeHu/P4/TkdQt/Z3bQaWZgWOPMDPdRiB6pmTE034w/Ri0zU8YB4lUPax/61gL4cfwa5xguacHomykYBjJbGDCzKjx0yCK0ulnWry6FzdQ+CuHAni2YfDMTm1VNd3KDM4Pi9UwN1b1GN/cGt4s9i7rMrGVYBDPDmDBTt1Ldd0+ceINBNvMvW12REGmGgYf1euH1d/6Cb9a/5ERA/HfIK2Qz6XngNyQDmTekbg7ByjH4B3ZI8D73kHF94QjZNwMdQVqYDw/h1RjJZgI8dN0t2eCEacS8kgFcHsbO77h9HBf5nrHNhf4642ooiosAWr96CwLOSPHNQKsKpxNcn45bmXByHW/Bwd8/2hOEbuC3iyU2RlHv9ICeGRoa2DOv99HdswXYWVSIk0l25+g3M/F4MpW0+g4hQBHiEHp50vKcYky/mYrymOyeL3COcWOaAuvZuZm1r1eUMqv7UkQeveOeq3EZ3LQ7YgvVPR6XUdimDAKb6cru4zBkKCmzd4cizUq2aRHYbAn/6uGKsM/OeiPNGiIHbmzMDHT9hmUYSqkGo7rRz2ZiUabtjkz0dbY8fQV1e0e6qb4ZmMY3rAtgDT06HjEu0uT3IPe8yFqFHnssvNZZLkL2bJ5f0IG0KOIYQrkiA2bXQlLFyvELC9sWi2ccCvgP3LRWTYUkzN/tN96qPCkeCAFUL8SteubKrqfdxH6zoZVNcRjWoUrjq+RqVlfZ0yb1mVnsNVMoaoBvptjhB1aLRYHj0F0g+WbYb6b6uvIAQvleHRv0+WZn/Wacr1LI0htxnCqBaKrVSghQoO7/8/lKjTcF9DVNePuGQs1Ixh5a/M9XXLUbfH330vQsIehsBlATIFiWDinSSw/QYh4GaLki88MowIyrPsLIPK2PwGbQAOkzN40IL9S4m5l5+tTlwWGMdLaqtW4mlMTYgbKJTI4fhc3+r9FxK9Bq5ekAUCdG+GYikMgMWSkb10lBXy/PJV7CXk0wTaVU1fFusJO8wRaOrvMN8kTNLChkuUA+LH5BlWnnC5gZ0TcD+E8VTp/tm1RToy/SrMqmD6pQl6RHARAcCdM8M9c436zBtkgOea19M8DqolLTqYxcYTYz4TV+fryopR0jt1s4ztjMk32zA1fGKnwZ5rMR/Wbz8i81oyI7azaL7Dvefo57EC7LpVQ9SSnshV/kgmxmPphpLTiVS5ULkPvKU5Hs/vRCCGx2NDPAHL0I2YxMdqOHHvxU3uVPVVpdVE9VPbwEZpY1fVtYp8PCsBLa2G+2QnlYnXycRlVvw3u/Nrn7hD0dpnpqVld4UPApaHpRXeR14xlDFTrUirh8BrH74szDrkFhMxxubELuVHFuddFubDowJtKEJmzFV9/O47ZtFaoGBX6GZq5eg7St9+UrTdoUQKOsWx5en+EfaG8gGuBSTTZuAc2stw301XMAA1832eAeoSGk3O/TBqR2PxfAvwWivdtHChtvtfX9LTSaLLqp5WGVxJZI3naJ/wGNZqcBvspNFD2CjkJm9ZE+JCHbD3NWVGfX919x92pqk5lxD6LfHSgKCm/QJ8UBLTBYOa+H9dTVwPXkHVIJbAbuEF6ujOtrV64RiyKP97acJt+sO9Lsxjwc5Jb3gctkzeOgGeE5YIjNeLFE53RflriWyYeYQiErFz1hkTHSbI6vAftclEtcF4gnANXSUk+9716OavTNLvCQlxLg1ccJr1TTXurxN+6pc0CJllcdXGFiM4jK68MUQq6kqrSsl16l9VIWFnX1Jw6ymciXS3V8htJ4HakAXq66yKrBuEizG2l4mGc+LXgB9js/7QBSQDPrqzy+l2RZdp9kiZpqdo2zdO+zDDb2eREgtfveszlKawA+3hpFKeBEiqqZB9y5vsfYbxaXSkSSHVwCESi1YQtWcB7gryg26ey6N5mZxMMOCFYzsUhQrPyVZKrfD9StoaYpn2KYzUArfe2oFX+s04B+B230fLMOpJbYDDz3fAVB05umaIjNZiJ+jdWyA1VhRTxHvFl3cAqzs/MNBc1rIXMUwVGUUBLhBPAN0vBtHnetFjKyGcej4h+v8SFS8+egtpKKcnwRq1PiuTrUNqmLugl4ob6xWlih1EQpsVJD7QA/xXFHnRhkM38O+oJw/AC1ITGff1NK9zLNGN/MhG95ryW/G5CRvxZBh7GjmU3Pn0Njmu8Espm7I5DBN0M2o89+/TbvoYl3A9jseycXD7LZe9ATaX4IwGadOfxB2FF3kM3eiSnYbDYrljb4TBT7rOqa+2qHzawYLzhLjs3MvtmYSBPMjLSKajS2ebcKVgyCMnv2PbB079n/BpuNiTQBNtpMgIGywMwGRwHGA6TaMDN371lAn29GZ7PfDCtsZtE3c2w2jW/2m4FmZiXStPF0YIw0SZNlRuJrsdkE/Wa/HV+NzVyk+VXZzI5vZusJdC7SNPhmGGmOXTX+22CFzVykCfjdbDYy0vy9sOObgVQbZnbrIk3nmx3hIk2A881aQC9qet8MIs3pjbf2zVykafDNHJtNhfTZRZpfls2+jm/mZmgAphnT/M2wwmbWIk3nm5nZ7LNHmnb6zWyNAlgws/+Ob/Zn9Zu5SBPwb/hmn7bRvLESE1ryzYbXab4PVtRFM7PBLmlPv9ngAtp/Cw9WDMLSJG0ws8Nt0ycFsJkF3oFMsMFm+AAmE5sFafqafkLgjSCkTk8IkFrq5JS42bEo1+kpYUddydhCJ6dEHpkjzSjaPe+e4eNTvXdRuGHsLlTfQMVJ3iiYWZG6w1WN0+ejEgvqosJ6w0c+4A2ywmiPq5yV0AnfeAJmiDTrJaQODhPh7C7YNbZXWYivJEuSpE5+ohdqVSdq/T74boTWX9o/ffCtJSfJZZ2a7AXSlbrqD4Wrc7334xJFHAv6mJrkBeJAXvet4vUC0j8WP/T/jyZswfoJpgauHnZwcHBwcHBwcHBwcHBwcHBwcHBwcHBw+M9jNvt/f+RMGeMP2JIAAAAASUVORK5CYII=)
maths-General
Maths-
If the probability distribution of a random variable X is
then k =
If the probability distribution of a random variable X is
then k =
Maths-General
Maths-
If the probability distribution of a random variable X is
then second moment about 0 i.e.,![blank M subscript 2 end subscript superscript 1 end superscript left parenthesis 0 right parenthesis equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEAAAAAXCAYAAAC74kmRAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAghJREFUeNrlmM9HBGEYx8dKkkTHdEvSKcsekiSRlSSJDv0DSVa6dUjSYVl7ykqsZA8dIumURJKsrL0kSVa3TtlLhz2stZb6vnyH1+ud2Xf216j58mH3me8M7/M+7zPvO5bVHo2CPfBiBVRnYB38WAGXWwI2QcLDsxK8518kYBzkGnjeE+/tmCpgro5HXK+BkIcEiIGElVg/OAZ5kmZMVgRkOzX4EQ7gyMXTBz7Bq4cKCDMBqu7BkvR/kTFVWSai7VpmF/9y8aTpOfeQgCSIKbFVkNJ4D8GaEtvy2Dsa1j7YAQUw4VD6YuYP6DNNwC2YVmKXIKrxzvKarEmHymi5LlgFcSKrF3ywnG2fOnAVWyXQrfi/NTGLsaImVnJJeD2MJQY4xNkvKNdSUlIK9JmqZhizVTWMtVSio5el/6IPjPH3FHgDXRpfOxJQ8SMBYtYflGa3I5V+xMFnIt0SKDosgR6/loDovBml4eXZleMuPhPdsYrUJjiv8Ub9aoIp7uXlJSGy/s7Sd/KZSPcaXAEnGm9G8xqM8Rlt1RVY0BxwIgY+u9Sq3PCMGG6ExFLaZoJFme+CR782Qt9cf834Qjy8PGuu5TR7+gFwyqZXZt/p83Mr3MrzxJ89DDWrGYcyFtrwuKVNNtBvfNUgZ2w4iB9CxCexayYhcBKDvtGc5QOjG2nbHEg1dQLrtH4Bqw6TiTzTfX0AAACndEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPiYjeEEwOzwvbWk+PG1zdWJzdXA+PG1pPk08L21pPjxtbj4yPC9tbj48bW4+MTwvbW4+PC9tc3Vic3VwPjxtbz4oPC9tbz48bW4+MDwvbW4+PG1vPik8L21vPjxtbz49PC9tbz48L21hdGg+dEp3bgAAAABJRU5ErkJggg==)
If the probability distribution of a random variable X is
then second moment about 0 i.e.,![blank M subscript 2 end subscript superscript 1 end superscript left parenthesis 0 right parenthesis equals](data:image/png;base64,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)
Maths-General