Home
Class 12
MATHS
The random variable takes the values 1,2...

The random variable takes the values 1,2,3,…….m. If `P(X=n)=(1)/(m)` to each n, then the variance of X is

A

`((m+1)(2m+1))/(6)`

B

`(m^(2)-1)/(12)`

C

`(m+1)/(2)`

D

`(m^(2)+1)/(12)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RANDOM VARIABLE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|34 Videos

  • RANDOM VARIABLE

    AAKASH SERIES|Exercise EXERCISE - I|33 Videos

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos

  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos

Similar Questions

Explore conceptually related problems

A random variable X takes the values 0,1,2, it's mean is 0.6. If P(X=0)=0.5 then P(X=1)=

A randomm variable X takes the value -1,0,1. It's mean is 0.6. If (X=0)=0.2 then P(X=1)=

A random variable X has its range {1,2,3}. If P(X=1)=1//6, P(X=2)=1//3.P(X=3)=1//2 then mean =

A: A random variable X has the range {1,2,3}. If P(X=1)=c, P(X=2)=3c,P(X=3)=6c then c=1//10 . R: If : S rarr R is a discreate random variable with range (x_(1), x_(2), x_(3),…………}" then" sum _(r=1)^(infty) (X=x)=1

AAKASH SERIES-RANDOM VARIABLE -EXERCISE - II
  1. A player tosses two coins. He wins Rs. 1 if 1 head appears, Rs 2 if 2...

    Text Solution

    |

  2. Let X denote the profit of a business man. The probability of getting ...

    Text Solution

    |

  3. The random variable takes the values 1,2,3,…….m. If P(X=n)=(1)/(m) to ...

    Text Solution

    |

  4. Two cards are drawn successively one by one with out replacement from ...

    Text Solution

    |

  5. A : If the difference between the mean and variance of a binomial dist...

    Text Solution

    |

  6. If the standerd deviation of the binomial distribution (q+p)^(16) is 2...

    Text Solution

    |

  7. If a binomial distribution has mean 2.4 and variance is 1.44, then n=

    Text Solution

    |

  8. If the mean of a binomial distribution with 9 trials is 6, then its va...

    Text Solution

    |

  9. If the mean of the binomial distribution is 100. Then standard deviati...

    Text Solution

    |

  10. Four bad apples are mixed accidentally with 20 good apples. Probabilit...

    Text Solution

    |

  11. Two cards are drawn successively with replacement . The mean of number...

    Text Solution

    |

  12. The mean and variance of a random variable X having binomial distribut...

    Text Solution

    |

  13. The least number of times a fair coin must be tossed so that the proba...

    Text Solution

    |

  14. The probabilty of hitting a target is 1/3. The least number of times t...

    Text Solution

    |

  15. The mean and variance of a random variable X having a binomial distrib...

    Text Solution

    |

  16. In a binomial distribution, mean = 25, variance = 20 then P(X le 100)=

    Text Solution

    |

  17. If the mean and variance of a binomial variable X are 2 and 1 respecti...

    Text Solution

    |

  18. X is a binomial variate with parameters n=6 and p. If 4P(X=4)=P(X=2), ...

    Text Solution

    |

  19. For a binomial variate X if n=5, and P(X=1)=8P(X=3), thenp=

    Text Solution

    |

  20. X follows a binomial distribution with parameters n and p where 0 lt p...

    Text Solution

    |