Home
Class 12
MATHS
For a random variable X, if E(X) = 5 and...

For a random variable X, if E(X) = 5 and V(X) = 6, then `E(X^2)` is equal to

A

19

B

31

C

61

D

11

Text Solution

Verified by Experts

The correct Answer is:
B
We know that ,`V(X)=E(X^2)-[E(X)]^2`
`therefore" "6=E(X^2)-(5)^2`
`rArr" "E(X^2)=25+6=31`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|4 Videos

  • PROBABILITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 1 (TOPICAL PROBLEMS)|44 Videos

  • PRACTICE SET 24

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathmatics)|50 Videos

  • SEQUENCES AND SERIES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 31|1 Videos

Similar Questions

Explore conceptually related problems

For the random variable X , if V(X) = 4 , E(X) = 3 , then E(X^(2)) is …

For a random variable X, if E(X^(2)) = 31 , Var(X) = 6, then E(X)=.........

For a random variable X, if Var (X) = 4 and E(X^(2))=13 , the value of E(X) is

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

If random variable X~B(n=5,P=(1)/(3)) , then P(2 lt X lt 4) is equal to

If X is a random variable such that sigma(X)=2.6 , then sigma(1-4X) is equal to

The probability distribution of the random variable X is given by Then, the value of V(X) is equal to

If the standard deviation of the random variable X is sqrt(3pq) and mean is 3p then E(x^(2)) = . . .

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PROBABILITY-Exercise 2 (MISCELLANEOUS PROBLEMS)
  1. If X is a random variable with distribution given below The value of...

    Text Solution

    |

  2. If a curve X has probability density function (pdf) f(x)={{:(ax","0...

    Text Solution

    |

  3. For a random variable X, if E(X) = 5 and V(X) = 6, then E(X^2) is equa...

    Text Solution

    |

  4. probability distribution of a random variable X is If a=P(Xge2) and ...

    Text Solution

    |

  5. The pdf of a curve X is f(x)={{:(k/sqrtx","0ltxlt4),(0","xle0" or "x...

    Text Solution

    |

  6. The random variable X has the following probability distribution The...

    Text Solution

    |

  7. The probability distribution of the random variable X is given by Th...

    Text Solution

    |

  8. If the pdf of a curve X is f(x)={{:(3(1-2x^2)","0ltxlt1),(0","xle0" ...

    Text Solution

    |

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

    Text Solution

    |

  10. If random variable X has the following probability distribution. Then ...

    Text Solution

    |

  11. A random variable X is defined by X={{:("3 with probability"=1/3),("...

    Text Solution

    |

  12. The life in hours of a ratio tube is continuous random variable with p...

    Text Solution

    |

  13. If a random variable X has the following probability distribution valu...

    Text Solution

    |

  14. Let X is a continuous random variable with probability density functio...

    Text Solution

    |

  15. A random variable X has the probability distribution given below Its...

    Text Solution

    |

  16. If the pdf of a curve X is f(x)={{:(k.e^(-thetax)","thetagt0","0lexl...

    Text Solution

    |

  17. A random variable X takes values 1,2,3 and 4 with probabilities (1)/(6...

    Text Solution

    |

  18. A function is defined as f(x)={{:(0","" for "xgt2),((2x+3)/(18)"...

    Text Solution

    |

  19. A random variable has the following probability distribution The val...

    Text Solution

    |

  20. A random variable X has the following probability distribution The m...

    Text Solution

    |