Home
Class 12
MATHS
The sum and the product of the mean and ...

The sum and the product of the mean and variance of a binomial distribution are 24 and 128 respectively. Find the distribution.

Text Solution

Verified by Experts

Solution
Correct option is A)
Let the binomial distribution be `({p}+{q})^{{n}}`
We have,
Mean =n p
Variance =n p q
Given n p+n p q=`24`
`n p(1+q)=24`
...
Promotional Banner

Topper's Solved these Questions

  • BINARY OPERATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|224 Videos
  • CONTINUITY

    RD SHARMA|Exercise Solved Examples And Exercises|277 Videos

Similar Questions

Explore conceptually related problems

The sum and product of the mean and variance of a binomial distribution are 3.5 and 3 respectively. Find the binomial distribution.

The mean and variance of a binomial distribution are 6 and 4 respectively, then n is

If the mean and variance of a binomial distribution are 9 and 6 respectively , then n = …..

If the mean and variance of a binomial distribution are respectively 9 and 6, find the distribution.

If the mean and variance of a binomial distribution are respectively 9 and 6, find the distribution.

The mean and variance of a binomial distribution are 4 and 4/3 respectively, find P(Xgeq1)dot

In a binomial distribution,sum and product of mean and variance of a binomial distrribution is 5and 6 respectively,find the distribution.

If the Mean and Variance of a Binomial Distribution are 12 and 8 respectively, find the number of trials.

Formula of mean and variance of binomial distribution: Proof

The mean and variance of a binomial distribution (p+q)^n are 20 and 16 respectively. Then, the pair (n,p) is

RD SHARMA-BINOMIAL DISTRIBUTION -Solved Examples And Exercises
  1. The probability that a student entering  university will graduate is 0...

    Text Solution

    |

  2. Find the probability that in 10 throws of a fair die a score which is ...

    Text Solution

    |

  3. The sum and the product of the mean and variance of a binomial dist...

    Text Solution

    |

  4. If the sum of the mean and variance of a binomial distribution for 5 t...

    Text Solution

    |

  5. If the probability of a defective bolt is 0.1, find the i. mean and ii...

    Text Solution

    |

  6. In a binomial distribution , prove that mean gt variance

    Text Solution

    |

  7. If X follows binomial distribution with mean 4 and variance 2, find P...

    Text Solution

    |

  8. If tow dice are rolled 12 times, obtain the mean and the variance of ...

    Text Solution

    |

  9. In a game, a man wins a rupee for a six and loses a rupee for any o...

    Text Solution

    |

  10. The mean and variance of a binomial variance with parameters n and p a...

    Text Solution

    |

  11. There are three urns A, B and C. Urn A contains 4 white balls and 5...

    Text Solution

    |

  12. The probability of a man hitting a target is 0.25. He shoots 7 times. ...

    Text Solution

    |

  13. A bag contains 3 red and 4 black balls. One ball is drawn and then rep...

    Text Solution

    |

  14. Two cards are drawn successively with replacement from a well shuffled...

    Text Solution

    |

  15. Assume that the probability that a bomb dropped from an aeroplane will...

    Text Solution

    |

  16. Six coins are tossed simultaneously. Find the probability of getting ...

    Text Solution

    |

  17. Six dice are thrown 729 time. How many times do you expect at least ...

    Text Solution

    |

  18. Assuming that half the population are consumers of chocolate, so that ...

    Text Solution

    |

  19. The probability of a man hitting a target is 1/2. How many times must ...

    Text Solution

    |

  20. An unbaised coin is tossed 8 times. Find , by using binomial distribut...

    Text Solution

    |