Home
Class 12
MATHS
Let 'X' be a discrete random variable as...

Let 'X' be a discrete random variable assuming values `x_1, x_2, .........x_n` with probabilities `p_1, p_2,........., p_n` respectively. Then variance of 'X' is given by :

A

`E(X^2)`

B

`E(X^2)+E(X)`

C

`E(X)^2-[E(X)]^2`

D

`sqrt(E(X^2)-[E(X)]^2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|543 Videos

  • MOCK TEST-3

    MODERN PUBLICATION|Exercise EXERCISE|35 Videos

  • RELATIONS AND FUNCTION

    MODERN PUBLICATION|Exercise EXAMPLE|212 Videos

Similar Questions

Explore conceptually related problems

A discrete random variable X has the following probability distribution: Determine P(X<3)

A discrete random variable X has the following probability distribution: Determine P(X>6)

The probability distribution of a random variable 'X', taking values 1,2,3,4,5 is given: Find the value of p.

A random variable X takes values 0, 1, 2, 3,… with probability proportional to (x+1)((1)/(5))^x . P(Xge2) equals

A discrete random variable X has the following probability distribution: Determine Mean X.

A discrete random variable X has the following probability distribution: Determine P(0 < X < 3)

A discrete random variable X has the following probability distribution: Determine value of k.

The probability distribution of a random variable 'X', taking values 1,2,3,4,5 is given: Find the variance of X.

Let 'X' be a discrete random variable. The probability distribution of X is given below: Then E(X) is equal to :

A random variable X takes the values 0,1,2,3,..., with prbability P(X=x)=k(x+1)((1)/(5))^x , where k is a constant, then P(X=0) is.

MODERN PUBLICATION-PROBABILITY-EXERCISE
  1. If A and B are independent events such that 0 lt P (A) lt 1 and 0 lt P...

    Text Solution

    |

  2. Let 'X' be a discrete random variable. The probability distribution of...

    Text Solution

    |

  3. Let 'X' be a discrete random variable assuming values x1, x2, ...........

    Text Solution

    |

  4. Two events A and B will be independent, if:

    Text Solution

    |

  5. If A and B are two events such that AcapBnephi, P((A)/(B))=P((B)/(A))...

    Text Solution

    |

  6. If P(E)=11/36, P(F)=5/36 and P(EnnF)=2/36, then the value of P(E/F) is...

    Text Solution

    |

  7. Two cards are drawn at random and without replacement from a pack of 5...

    Text Solution

    |

  8. An urn contains 10 black and 5 white balls. Two balls are drawn from t...

    Text Solution

    |

  9. Probability distribution of X is given below, then the value of K is ...

    Text Solution

    |

  10. If A and B are any two events such that : P(A) + P(B) – P(A and B) = P...

    Text Solution

    |

  11. In a single throw of a pair od die, the probability of getting total o...

    Text Solution

    |

  12. A and B are two mutually exclusive events of an experiment. If P (not ...

    Text Solution

    |

  13. P(E/F) is equal to :

    Text Solution

    |

  14. If P(A)=0.3, P(B)=0.4, find P(AuuB). where A and B are independent eve...

    Text Solution

    |

  15. A pair of coins is tossed once. Find the probability of showing at lea...

    Text Solution

    |

  16. A and B are events such that 2P(A)=P(B)=5/13, P(A/B)=2/5, then P(AuuB)...

    Text Solution

    |

  17. The probability of obtaining an even prime number on each die, when a ...

    Text Solution

    |

  18. If P(A)=3/5 and P(B)=1/5, find P(AnnB) if A and B are independent even...

    Text Solution

    |

  19. If P(A)=7/13, P(B)=9/13 and P(AnnB)=4/13, evaluate P(A/B).

    Text Solution

    |

  20. If A and B are events such that P(A)=0.4, P(B)=0.5 and P(B/A)=0.6, the...

    Text Solution

    |