Physics-
General
Easy
Question
An ideal monoatomic gas is taken round the cycle ABCDA as shown in the diagram The work done during the cycle is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/488518/1/958442/Picture4.png)
- PV
- 2PV
- 3PV
- 4PV
The correct answer is: PV
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![](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,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)
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,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=)
A random variable X has the probability distribution given below. Its variance is ![](data:image/png;base64,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)
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
maths-
X is a random variable with distribution given below Then the value of k and variance are ![](data:image/png;base64,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)
X is a random variable with distribution given below Then the value of k and variance are ![](data:image/png;base64,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)
maths-General
maths-
maths-General
Maths-
Maths-General
Maths-
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
Maths-General
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or