Home
Class 12
MATHS
For a random variable X, E(X)=3 and E(X^...

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

A

8

B

5

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
C

Given that , `E(X)=3 and E(X^2)=11`
variance of `X=E(X^2)-[E(X)]^2=11-(3)^2=11-9=2`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 2 (MISCELLANEOUS PROBLEMS)|40 Videos
  • PROBABILITY

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

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PRACTICE EXERCISE (Exercies 2 (MISCELLANEOUS PROBLEMS))|30 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 a random variable X, if Var (X) = 4 and E(X^(2))=13 , the value of E(X) is

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

The probability distribution of a random variable is as follows: The variance of x is

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

Consider the probability distribution of a random variable X Calculate (i) V( X/2) (ii) Variance of X.

For a random variable X, it is given,E(X)=10 and Var(X)=25. Find the positive values of a and b such,that Y=aX-b have expectation 0 and variance 1.

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

A random variable X has the distribution. Then , variance of the distribution, is

If the probability distribution of a random variable X is as given below Then, mean and variance are

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PROBABILITY-Exercise 1 (TOPICAL PROBLEMS)
  1. The distribution of a random variable X is goven below The value of ...

    Text Solution

    |

  2. A random variable X has the following probability distribution. Then t...

    Text Solution

    |

  3. Following is the probability density function f(x)=pxe^(-4x^2),0lexleo...

    Text Solution

    |

  4. If the probability density function of a continuous random variable X ...

    Text Solution

    |

  5. If the range ot a random vaniabie X is 0,1,2,3, at P(X=K)=((K+1)/3^k) ...

    Text Solution

    |

  6. A discrete random variable X has the following probability distributio...

    Text Solution

    |

  7. If pdf of a curve X is f(x)=ae^(-ax),xge0,agt0 If P(0ltXltK)=0.5 , t...

    Text Solution

    |

  8. If the pdf of a curve X is f(x)={{:(x/8,0ltxlt4),(0,"elsewhere"):} ...

    Text Solution

    |

  9. A random variable X has the following probability distribution. Then...

    Text Solution

    |

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

    Text Solution

    |

  11. If m and sigma^2 are the mean and variance of the random variable X wh...

    Text Solution

    |

  12. A random variable X has the probability distribution For the events ...

    Text Solution

    |

  13. In a dice game , a player pays a stake of ₹1 for each throw of a die. ...

    Text Solution

    |

  14. Anil's company estimates the net profit on a new products, it is launc...

    Text Solution

    |

  15. Let X denote the sum of the numbers obtained when two fair dice are ro...

    Text Solution

    |

  16. A class has 15 students whose ages are 14,17,15,14,21,17,19,20,16,18,2...

    Text Solution

    |

  17. Two cards are drawn successively with replacement from a well shuffled...

    Text Solution

    |

  18. A random variable X takes the values 0,1,2,3,..., with prbability PX(=...

    Text Solution

    |

  19. The pdf of a discrete random variable is defined as f(x)={{:(kx^2","0l...

    Text Solution

    |

  20. Let the random variable X is defined as time (in minutes) that elapses...

    Text Solution

    |