Home
Class 12
MATHS
Given E(X)=10, Var(X)=25 where X is a r...

Given E(X)=10, Var(X)=25 where X is a random variable and Y=aX-b is also a random variable with mean =0 and variance=1 , then a and b are

A

`a=2,b=1/5`

B

`a=1/5,b=2`

C

`a=5,b=1/2`

D

`a=1/2,b=5`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY DISTRIBUTIONS

    PREMIERS PUBLISHERS|Exercise EXERCISE 11.6|20 Videos
  • ORDINARY DIFFERENTIAL EQUATIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (ANSWER THE FOLLOWING QUESTIONS )|22 Videos
  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Problems for practice (Answer the following)|21 Videos

Similar Questions

Explore conceptually related problems

If X is a discrete random variable P(X gta) is equal to

The variance of the random variable X is equal to

If X is a binomial random variable with expected value 6 and variance 2.4, then P(X=5) is

If X is a random variable with the following distribution then k is

The random variable X has variance 4 and E(x^(2))=8 , then the mean of x is

If X is a bernoulli 's random variable with parameter p then the variance sigma^(2) is

A random variable X has binominal distribution with n = 25 and p = 0.8 then standard deviation of X is

X is a random variable taking the values 3,4 and 12 with probabilites 1/3,1/4 and 5/12 then E(x) is

PREMIERS PUBLISHERS-PROBABILITY DISTRIBUTIONS-PROBLEMS FOR PRACTICE
  1. In a packet of 50 pens 10 are red pens if 5 pen are selected what is t...

    Text Solution

    |

  2. In 12 throw of a die getting 2 or 4 is considered as success then the...

    Text Solution

    |

  3. Given E(X)=10, Var(X)=25 where X is a random variable and Y=aX-b is a...

    Text Solution

    |

  4. The probability distribution of a discrete random variable x is given...

    Text Solution

    |

  5. If mean =0 standard deviation =2 Then E(X^(2)) is

    Text Solution

    |

  6. IfF(x)=(A)/(pi)=(1)/(16+x^(2))-inftyltxltinfty is a pdf of a continous...

    Text Solution

    |

  7. In a binomial distribution with mean 4 and variance 16/5 then p is

    Text Solution

    |

  8. Given E(X+C)=8 and E(X-C)=12 The value of C is

    Text Solution

    |

  9. Var(5x-2)=?if Var(X)=1

    Text Solution

    |

  10. If f(x)=k(2x-x^(2)),0lexle1 is probability density function of a conti...

    Text Solution

    |

  11. In 16 throws of a die getting an even number is called a success then ...

    Text Solution

    |

  12. X is a random variable taking the values 3,4 and 12 with probabilites ...

    Text Solution

    |

  13. If X is a discrete random variable which takes the values which takes ...

    Text Solution

    |

  14. Variance =20 and E(X^(2)) =276 for discrete random variable then the m...

    Text Solution

    |

  15. A random variable X has the following probability distribution ...

    Text Solution

    |

  16. A bag contain 6 white and 4 red balls if 3 balls are drawn at random t...

    Text Solution

    |

  17. 2 cards are drawn from a well shuffled of 52 cards the probability tha...

    Text Solution

    |

  18. In 6 trails x is binomial variate which follows 4P(X=4)=P(X=2) then th...

    Text Solution

    |

  19. The probability function of a random variable is defined as Then...

    Text Solution

    |

  20. If f(x)=1/9x^(2)0lexlta is a probability density function of random va...

    Text Solution

    |