Home
Class 12
MATHS
The mean and standard deviation of a ran...

The mean and standard deviation of a random variable X are given by E(X) = 5 and `sigma_(x)=3` respectively, then
`(1) E(X^(2))=…….`
(2) `E[(3X-2)^(2)]= ……….`
(3) `V(3-2X)= …………`

A

(1) 34, (2) 250, (3) 36

B

(1) 34, (2) 370, (3) 81

C

(1) 34, (2) 370, (3) 36

D

(1) 34, (2) 250, (3) 81

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - A (Choose the correct option))|6 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - B (Answer the following questions))|4 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Fillers) |5 Videos
  • MATRICES

    KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - D)|1 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

Similar Questions

Explore conceptually related problems

The mean and standard deviation of a random variable X are 10 and 5 respectively. Match the following.

The mean and standard deviation of random variable X are 10 and 5 respectively, then E((X-15)/(5))^(2)= ____

Mean and standard deviation of the random variable X are (7)/(3) and (14)/(9) respectively. Then find value of n and p.

A probability distribution of random variable X is as follows. b= ….., E(X) =…..

The mean and variance of a random variable X having a binomial distribution are 6 and 3 respectively. The probability of variable X less than 2 is

If the standard deviation of variable x is 4 and y = (3x + 7)/(4) then the standard deviation of variable y is

Probability distribution of random variable X is as follows : Then variance of g(X) = 2X + 3 ……….

Mean and variance of random variable X are 2 and 1 respectively. Then ……….. is the probability that X takes more than one value.

The probability distribution of random variable X is as follows. Then possible value of E(2X +3) ………….

Two probability distributions of the discrete random variables X and Y are given below. Prove that E(Y^(2)) = 2E(X) .

KUMAR PRAKASHAN-PROBABILITY-Multiple Choice Questions (MCQs)
  1. The probability function of the binomial distribution is P(x)= ((6), (...

    Text Solution

    |

  2. Let X be the random variable with following probability distribution. ...

    Text Solution

    |

  3. The mean and standard deviation of a random variable X are given by E(...

    Text Solution

    |

  4. Let X be a random variable with probability distribution. then E...

    Text Solution

    |

  5. Two balanced dice are tossed 500 times. If sum of integers obtained o...

    Text Solution

    |

  6. A probability distribution of random variable X is as follows. b...

    Text Solution

    |

  7. A man takes a step forward with probability 0.4 and backwards with pro...

    Text Solution

    |

  8. omega is the cube root of 1 and omega ne 1. Now r(1), r(2) and r(3) ar...

    Text Solution

    |

  9. One number is selected from the set S={1,2,3, …., 50} A={n in S/...

    Text Solution

    |

  10. In binomial distribution of random variable X if mean = np and varianc...

    Text Solution

    |

  11. In binomial distribution of random variable X if parameter n = 5 and p...

    Text Solution

    |

  12. Random variable X takes integer values from 1 to n with equal probabil...

    Text Solution

    |

  13. 8 coins are tossed togather. Then ………. is the probability of an event ...

    Text Solution

    |

  14. Mean and variance of the binomial distribution is 4 and 3 respectively...

    Text Solution

    |

  15. One ticket is selected from pack of 100 tickets numbered with 00, 01, ...

    Text Solution

    |

  16. Mean and variance of variable X of the binomial distribution are (7)/(...

    Text Solution

    |

  17. X and Y are independent binomial variables. B(5,(1)/(2)) and B(7,(1)/...

    Text Solution

    |

  18. 10 % bulbs are defective produced by some factory. 5 bulbs are selecte...

    Text Solution

    |

  19. Match the following Section I to Section II

    Text Solution

    |

  20. A coin is tossed 19 times random variable X denotes the numbers of hea...

    Text Solution

    |