Home
Class 12
MATHS
Let X be the discrete random variable. T...

Let `X` be the discrete random variable. Then the variance of `X` is (a). `E(X^2)` (b). `E(X^2)+(E(X))^2` (c). `E(X^2)-(E(X))^2` (d). `sqrt(E(X^2)-(E(X))^2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    RD SHARMA ENGLISH|Exercise All Questions|309 Videos
  • MEAN VALUE THEOREMS

    RD SHARMA ENGLISH|Exercise All Questions|134 Videos

Similar Questions

Explore conceptually related problems

For a random variable X, E(X) = 3 and E(X^(2))=11 .Then variance of X is

Two probability distributionof the discrete random variable X and Y are given below. Prove that E(Y^(2))=2E(X) .

The maximum value of x^4e^ (-x^2) is (A) e^2 (B) e^(-2) (C) 12 e^(-2) (D) 4e^(-2)

Let f(x) be a polynomial. Then, the second order derivative of f(e^x) is f"(e^x)e^(2x)+f'(e^x)e^x (b) f"(e^x)e^x+f'(e^x) (c) f"(e^x)e^(2x)+f"(e^x)e^x (d) f"(e^x)

The value of the integral int_-a^a (x e^(x^2))/(1+x^2)dx is (A) e^(a^2) (B) 0 (C) e^(-a^2) (D) a

The probability distribution of a discrete random variable x is given as under Calculate (i) the value of A, if E(X)=2.94. (ii) variance of X.

int((1+(log)_e x)^2)/(1+(log)_e x^(x+1)+((log)_e x^(sqrt(x)))^2)dx=

Let f,g and h be real-valued functions defined on the interval [0,1] by f(x)=e^(x^2)+e^(-x^2) , g(x)=x e^(x^2)+e^(-x^2) and h(x)=x^2 e^(x^2)+e^(-x^2) . if a,b and c denote respectively, the absolute maximum of f,g and h on [0,1] then

Integrate the functions (e^(2x)-e^(-2x))/(e^(2x)+e^(-2x))

Integrate the functions (e^(2x)-e^(-2x))/(e^(2x)+e^(-2x))

RD SHARMA ENGLISH-MEAN AND VARIANCE OF A RANDOM VARIABLE -All Questions
  1. A die is tossed twice. A success is getting an odd number on a rand...

    Text Solution

    |

  2. Three cards are drawn at random (without replacement) from a well shuf...

    Text Solution

    |

  3. An urn contains 5 red 2 black balls. Two balls are randomly drawn, ...

    Text Solution

    |

  4. Two numbers are selected are random (without replacement) from posit...

    Text Solution

    |

  5. Write the values of a for which the following distribution of probabil...

    Text Solution

    |

  6. Find the mean of the following probability distribution: X=xi :\ \ ...

    Text Solution

    |

  7. In a single throw of a dice; if X denotes the number on its upper face...

    Text Solution

    |

  8. If the probability distribution of a random variable X is given by X=x...

    Text Solution

    |

  9. Find the mean of the following probability distribution: X=xi :\ \ 1 \...

    Text Solution

    |

  10. If the probability distribution of a random variable X is as given bel...

    Text Solution

    |

  11. A random variable X has the following probability distribution: X=xi :...

    Text Solution

    |

  12. A random variable X has the following probability distribution: Values...

    Text Solution

    |

  13. A random variable has the following probability ...

    Text Solution

    |

  14. A random variate X takes the values 0, 1, 2, 3 and its mean is 1.3. If...

    Text Solution

    |

  15. A random variable has the following probability distribution: X=xi :\...

    Text Solution

    |

  16. If X is a random variable with probability distribution as given below...

    Text Solution

    |

  17. The probability distribution of a discrete random variable X is given ...

    Text Solution

    |

  18. For the following probability distribution: X :\ \ -4\ \ -3\ -2\ \ -1...

    Text Solution

    |

  19. For the following probability distribution: X :\ 1\ 2\ \ 3\ 4 P(X):1/1...

    Text Solution

    |

  20. Let X be the discrete random variable. Then the variance of X is (a). ...

    Text Solution

    |