Home
Class 12
MATHS
Let X denote the sum of the numbers obta...

Let X denote the sum of the numbers obtained when two fair dice are rolled. Find the variance and standard deviation of X.

Text Solution

Verified by Experts

The correct Answer is:
`2.415`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    OMEGA PUBLICATION|Exercise Important Questions From Miscellaneous Exercise|16 Videos

  • PROBABILITY

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|38 Videos

  • MATRICES

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS |28 Videos

  • PUNJAB BOARD - MATHEMATICS 2019

    OMEGA PUBLICATION|Exercise SERIES-C|58 Videos

Similar Questions

Explore conceptually related problems

Find the mean , variance and standard deviation :

Find the variance and standard deviation for the following data :

There are 4 cards numbered 1, 3, 5 and 7, one number on one card. Two cards are drawn at random without replacement. Let X denote the sum of the numbers on the two drawn cards. Find the mean and varience of X.

There are 5 cards numbered 1 to 5, one number on one card. Two cards are drawn at random without replacement. Let X denote the sum of the numbers on the two cards drawn. Find the mean and variance of X.

Two numbers are selected at random from first six positive integers. Let X denote the larger of the two numbers obtained. Find the probability distribution of X. find the mean and variance of this distribution.

In the study of 79 diabetic patients, the following data are obtained. Find the variance and the standard deviation without finding the average (i.e. using deviation method).

Find the variance of the number obtained on a throw of an unbiased die.

Three numbers are selected at random (without replacement) from first 6 positive integers. Let X denote the largest of the three numbers obtained. Find the probability distribution of X. Also, find the mean and variance of the distribution.

OMEGA PUBLICATION-PROBABILITY-Multiple Choice Questions (MCQs)
  1. Let X denote the sum of the numbers obtained when two fair dice are ro...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Probability that A speaks truth is 4/5. A coin is tossed. A reports t...

    Text Solution

    |

  7. If A and B are two events such that AsubB and P(B) ne 0, then which of...

    Text Solution

    |

  8. The mean of the numbers obtained on throwing a die having written 1 on...

    Text Solution

    |

  9. Suppose that two cards are drawn at random from a deck of cards. Let X...

    Text Solution

    |

  10. In a box containing 100 bulbs, 10 are defective. The probability that ...

    Text Solution

    |

  11. The probability that a student is not a swimmer is 1/5. Then the prob...

    Text Solution

    |

  12. If P(A/B) > P(A), then which of the following is correct : :

    Text Solution

    |

  13. If A and B are two events such that P(A) ne 0 and P(B/A) = 1, then

    Text Solution

    |

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

    Text Solution

    |

  15. If P(A)=(6)/(11),P(B)=(5)/(11) and P(AuuB)=(-1)/(11) then P(AnnB) is

    Text Solution

    |

  16. If P(A)=(6)/(11),P(B)=(5)/(11) and P(AuuB)=(-1)/(11) then P(AnnB) is

    Text Solution

    |

  17. The event A and B are independent if

    Text Solution

    |

  18. Three coins are tossed then probability of at least one head

    Text Solution

    |

  19. If P(A) = 7/13, P(B) = 9/13 and P(A nn B) = 4/13· then P(A/B) is equal...

    Text Solution

    |

  20. lf 2P(A)=P(B) = 5/13 and P(A//B) = 2/5 then find P (A uu B).

    Text Solution

    |

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

    Text Solution

    |