Home
Class 12
MATHS
If X be a random variable taking values ...

If X be a random variable taking values `x_(1),x_(2),x_(3),….,x_(n)` with probabilities `P_(1),P_(2),P_(3)`,…..`P_(n)`, respectively. Then, Var (x) is equal to …….. .

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

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MODERN PUBLICATION|Exercise Objective Type Question (B. Fill in the Blanks)|15 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise Objective Type Question (C. True/False Questions)|5 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE 13 (h) (LATQ)|20 Videos
  • MATRICES

    MODERN PUBLICATION|Exercise CHAPTER TEST (3)|12 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos

Similar Questions

Explore conceptually related problems

If the random variable X takes the values x_1,x_2,x_3….,x_(10) with probablilities P (X=x_i)=ki , then the value of k is equal to

If a random variable "X" takes values ((-1)^(k)2^(k))/k, k=1,2,3,... with probabilities P(X=k)=(1)/(2^(k)) , then E(X)

If X is discrete random variable takes the values x_1, x_2, x_3 , ... x_n then sum_(i=1) P(x_i) = ........

If x is a random variable, var(x)=2 then var(2x+3)=

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

Let X be a random variable which assumes values x_(1),x_(2),x_(3),x_(4) such that 2P(X=x_(1))=3P(X=x_(2))=P(X=x_(3))=5P(X=x_(4)) Find the probability distribution of X .

A random variable X takes values -1,0,1,2 with probabilities 1+2p(1+3p)/(4),(1-p)/(4),(1+2p)/(4),(-14p)/(4) respectively, where p varies over R. Then the minimum and maximum values of the mean of X are respectively

Given a random variable that takes values X = {0, 1, 2} and has a probability distribution, P(0)= (1)/(4),P(1) = (1)/(2), P(2) = (1)/(4) . Then find the variance of X.

A r.v. X assumes values 1, 2, 3, …, n with equal probabilities. If Var (X) = E (X), then n =

MODERN PUBLICATION-PROBABILITY-Objective Type Question (A. Multiple Choice Questions)
  1. If E and F are independent events such that 0ltP(E)lt1 and 0ltP(F)lt1,...

    Text Solution

    |

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

    Text Solution

    |

  3. If X be a random variable taking values x(1),x(2),x(3),….,x(n) with pr...

    Text Solution

    |

  4. If A and B two events such that P(A)=0.2, P(B)=0.4 and P(A cup B)=0.5,...

    Text Solution

    |

  5. An urn contains 6 balls of which two are red and four are black. Two b...

    Text Solution

    |

  6. If E and F are independent events, P(E)=(1)/(2) and P(F)=(1)/(3), then...

    Text Solution

    |

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

    Text Solution

    |

  8. If P(A)=0.8, P(B)=0.5 and P(B/A)=0.4, then find P(A/B)

    Text Solution

    |

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

    Text Solution

    |

  10. if A and B be two events such that P(A)=1/4, P(B)=1/3 and P(AuuB)=1...

    Text Solution

    |

  11. If P(A)=(1)/(2),P(B)=0, then P(A/B) is :

    Text Solution

    |

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

    Text Solution

    |

  13. If P (E) denotes probability of occurrence of event E, then :

    Text Solution

    |

  14. If A and B are independent events, then :

    Text Solution

    |

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

    Text Solution

    |

  16. If Aa n dB are two events such that P(A)=0. 5 ,P(B)=0. 6a n dP(AuuB)=0...

    Text Solution

    |

  17. If A and B are two independent events such that P(AuuB)=0. 60\ a n d\ ...

    Text Solution

    |

  18. Two cards are drawn from a well shuffled deck of $2 cards with replace...

    Text Solution

    |

  19. Events A and B are independent if

    Text Solution

    |

  20. A pair of dice is thrown once, the probability of doublet is :

    Text Solution

    |