Maths-
General
Easy
Question
When a die is rolled twice, if the event of getting an even number is denoted by a success and the number of successes as a random variable, then distribution and mean of the variate are
The correct answer is: ![table attributes columnalign left end attributes row 0 1 2 row cell 1 divided by 3 end cell cell 1 divided by 2 end cell cell 1 divided by 4 end cell end table comma mu equals 2](data:image/png;base64,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)
Related Questions to study
chemistry-
Enthalpy of CH4+
O2→CH3OH is negative. If enthalpy of combustion of CH4 and CH3OH are x and y respectively. Then which relation is correct-
Enthalpy of CH4+
O2→CH3OH is negative. If enthalpy of combustion of CH4 and CH3OH are x and y respectively. Then which relation is correct-
chemistry-General
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Change in enthalpy for reaction 2H2O2(l) → 2H2O(l)+O2(g) If heat of formation of H2O2 (l) and H2O (l)are– 188&–286KJ/mol respectively
Change in enthalpy for reaction 2H2O2(l) → 2H2O(l)+O2(g) If heat of formation of H2O2 (l) and H2O (l)are– 188&–286KJ/mol respectively
chemistry-General
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For there action C2H5OH(l)+3O2(g)→2CO2(g)+3H2O(l) Which one istrue -
For there action C2H5OH(l)+3O2(g)→2CO2(g)+3H2O(l) Which one istrue -
chemistry-General
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2Zn+O2 3/2 →2ZnODG°=–616J 2Zn+S2→2ZnSDG°=–293J S2+2O2 3/4 →2SO2DG°=–408J DG°forthefollowingreactionis-2ZnS+3O2 3/4 →2ZnO+2SO
2Zn+O2 3/2 →2ZnODG°=–616J 2Zn+S2→2ZnSDG°=–293J S2+2O2 3/4 →2SO2DG°=–408J DG°forthefollowingreactionis-2ZnS+3O2 3/4 →2ZnO+2SO
chemistry-General
Maths-
A random variable has the following distribution.
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1718495/1/911011/Picture4.png)
Then for the values, A = K, B = Mean, C = Variance, the ascending order is
A random variable has the following distribution.
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1718495/1/911011/Picture4.png)
Then for the values, A = K, B = Mean, C = Variance, the ascending order is
Maths-General
chemistry-
The heat of combustion of ethanolina bomb calorimeteris–670.48Kcalmol–1at25°C.Whatis DE at 25°C for the reaction?
The heat of combustion of ethanolina bomb calorimeteris–670.48Kcalmol–1at25°C.Whatis DE at 25°C for the reaction?
chemistry-General
Maths-
A random variable X has the following distribution
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1714932/1/910911/Picture3.png)
The value of
and P(X<3) are equal to
A random variable X has the following distribution
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1714932/1/910911/Picture3.png)
The value of
and P(X<3) are equal to
Maths-General
Maths-
If m and 2 s are the mean and variance of the random variable X, whose distribution is given by
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/429132/1/910822/Picture6.png)
If m and 2 s are the mean and variance of the random variable X, whose distribution is given by
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/429132/1/910822/Picture6.png)
Maths-General
Maths-
The distribution of a random variable X is given below
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1720882/1/910821/Picture5.png)
The value of k is
The distribution of a random variable X is given below
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/1720882/1/910821/Picture5.png)
The value of k is
Maths-General
maths-
The number of different triangles formed by joining the points A, B, C, D, E, F and G as shown in the figure given below is
![](data:image/png;base64,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)
The number of different triangles formed by joining the points A, B, C, D, E, F and G as shown in the figure given below is
![](data:image/png;base64,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)
maths-General
maths-
The number of ways that the letters of the word ”PERSON” can be placed in the squares of the adjoining figure so that no row remains empty
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/481558/1/910723/Picture125.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/481558/1/910723/Picture126.png)
![](data:image/png;base64,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)
The number of ways that the letters of the word ”PERSON” can be placed in the squares of the adjoining figure so that no row remains empty
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/481558/1/910723/Picture125.png)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/481558/1/910723/Picture126.png)
![](data:image/png;base64,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)
maths-General
maths-
The value of
is
The value of
is
maths-General
maths-
The determinant
is equal to zero if
are in
The determinant
is equal to zero if
are in
maths-General
Maths-
If
satisfy
then ![a b c equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC0AAAANCAYAAAA9tuesAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAU5JREFUeNpjYCAdfANiJoYhBFSA+BLDEAMBQLx8MDkIFOWNQPwSiH8B8QUglkdTUw/E1VB1z4H4BxDvB2JJLObxAHEXED+FmrcOiAWp7egtQDwJajDIA6ugIYsMQGJ3gbgcSV0fltAHOfgcELcCMR8QswFxCRD7YLH3PxEYK4iEOggZLARiLzSxW0CshSYGctQnNLEOaADQFICi2BJN7CBa8mCClhzogAPN0SB1r2mRFAgVYyD2FzQ15lDPoQOQZ/ci8U2B+DAJdpOdPF6j8a2haRI9Cc3HorcIiGuR+F7QTEdz8BQazTAAcsQaNDWgNJqIJsYGLbeRSw9jIL5BD0c3A/FMaLIApeOlQLwNTc06aEZ0gfKloWKJWMy7AC05WKAZtQAae1QH1dASpBYa6i/RijwQ3w/q8D9QhwXgMEsWmpH/QGMimV6VjehgrZYB2/hRrVuCenEAAABndEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPmE8L21pPjxtaT5iPC9taT48bWk+YzwvbWk+PG1vPj08L21vPjwvbWF0aD75Py0dAAAAAElFTkSuQmCC)
If
satisfy
then ![a b c equals](data:image/png;base64,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)
Maths-General
chemistry-
End product of the following sequence of reaction is :
![](data:image/png;base64,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)
End product of the following sequence of reaction is :
![](data:image/png;base64,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)
chemistry-General