Home
Class 12
MATHS
In a binomial distribution, mean = 25, v...

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

A

`sum_(r=0)^(100)""^(125)C_(r )((1)/(5))^(r ) ((4)/(5))^(125-r)`

B

`sum_(r = 1)^(100) ""^(125)C_(r ) ((1)/(2))^(r )((2)/(5))^(125-r)`

C

`sum_(r = 0)^(100)""^(25)C_(r )((1)/(3))^(r )((2)/(5))^(125-r )`

D

`sum_(r =0)^(100) ""^(225)C_(r )((1)/(5))^(r )((3)/(5))^(125+r)`

Text Solution

Verified by Experts

The correct Answer is:
A
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

In a Binomial distribution mean is 4 and variance is 3 find P(X ge 1) .

If a binomial distribution has mean 15 and variance is 10, then n=

If a binomial distribution has mean 20 and variance is 15, then p=

In a binomial distribution, mean is 5 and the variance is 4 . The number of trials is

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

If X is a binomial variate with mean 10 and variance 5 then find P(X le 1) .

If a binomial distribution has mean 2.4 and variance is 1.44, then I:n=5," "II: p=0.4.

In a binomial distribution n=20, q=0.75 . Then mean =

If a binomial distribution have parameters 9, 1//3 then P(X=4)=

A : In a binomial distribution , if n=10, q=0.6 then variance =2.4. R : If X follows binomial distribution with parameters n, p then variance =npq.

AAKASH SERIES-RANDOM VARIABLE -EXERCISE - II
  1. The probabilty of hitting a target is 1/3. The least number of times t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Suppose X is binomial distribution with parameters n = 100 and p = 1/...

    Text Solution

    |

  9. Suppose X is a binomial distribution with parameters n = 100 and p=(1)...

    Text Solution

    |

  10. A coin is tossed any number of times until a head appears. If x donote...

    Text Solution

    |

  11. A fair coin is tossed n times. Let x be random variable denoting the n...

    Text Solution

    |

  12. When a coin is tossed n times, if the probability for getting 6 heads ...

    Text Solution

    |

  13. One hundred identical coins each with probability p showing up heads a...

    Text Solution

    |

  14. A die is rolled 3 times. If getting a one is considered as a success, ...

    Text Solution

    |

  15. An unbiased die is tossed 6 times. The mean of number odd numbers is

    Text Solution

    |

  16. In a binomial distribution B(n,p=(1)/(4)), if the probability of at le...

    Text Solution

    |

  17. A die is thrown (2n + 1) times. The probability of getting 1 or 3 or 4...

    Text Solution

    |

  18. If X is a binomial variate with n = 7 and P(X=3)=P(X=4) then P(X=5)=

    Text Solution

    |

  19. For a binomial variate X with n=6, if P(X=2)=9P(X=4), then its varianc...

    Text Solution

    |

  20. The probability that a candidate seeure a seat in Engineering through ...

    Text Solution

    |