Home
Class 12
MATHS
In a binomial distribution B( n , p =1/4...

In a binomial distribution `B( n , p =1/4)` , if the probability of at least one success is greater than or equal to `9/10 ` , then n is greater than :

A

`1/ (log_(10) 4 - log_(10) 3)`

B

`1 / (log_(10) 4 + log_(10) 3)`

C

`9 / (log_(10) 4 - log_(10) 3)`

D

`4 / (log_(10) 4 - log_(10) 3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATIONS

    HIMALAYA PUBLICATION|Exercise Question Bank|104 Videos
  • PROGRESSIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|97 Videos

Similar Questions

Explore conceptually related problems

Consider 5 independent Bernoulli's trials , each with probability of success p . If the probability of at least one failure is greater p , If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval :

In a binomial distribution n =4, P(X = 0) = 16/81 then P(X=4) equals

A binomial probability distribution is symmetrical if p, the probability of success in a single trial is :

A coin is tossed n times. The probability of getting head atleast once is greater than 0.8. Then the least value of such n is

The mean and variance of a binomial distribution are 4 and 2 respectively . Then the probability of 2 successes is :

A die is thrown.Write the sample space.Also find the probability of the event"A number greater than or equal to 3 will appear".

The minimum number of tosses of a pair of dice so that the probability of getting the sum of the digits on the dice equal to 7 on atleast one toss is greater than 0.95, is, then (n+1)/6 is

Complete the following statements : The probability of an event is greater than or equal to __________ and less than or equal to __________ .

The smallest positive divisor greater than 1 of a composite number 'a' is

If the roots of a x^(2)+b x+c=0(a ge 0) be each greater than unity, then

HIMALAYA PUBLICATION-PROBABILITY-QUESTION BANK
  1. A die is thrown . Let A be the event that the number obtained is great...

    Text Solution

    |

  2. It is given that events A and B are such that : P(A) = 1/4 ,P (A//B) =...

    Text Solution

    |

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

    Text Solution

    |

  4. One ticket is selected at random from 50 tickets numbered 00,01,02……4...

    Text Solution

    |

  5. Out of 3 n consecutive integers, three are selected at random. Find th...

    Text Solution

    |

  6. An urn contains nine balls of which three are red , four are blue and ...

    Text Solution

    |

  7. The probability that a isumtilci sefected at random from the set of nu...

    Text Solution

    |

  8. If A and B are independent events such that P(B) = 2/7, P(A cup bar B)...

    Text Solution

    |

  9. Four numbers are chosen at random from {1,2,3, …..40} The probubility ...

    Text Solution

    |

  10. The probability distribution of a random variable X is given by The va...

    Text Solution

    |

  11. Two aeroplanes I and II bomb a target in succession . The probabilitie...

    Text Solution

    |

  12. If the probability distribution of a random variable X is as given bel...

    Text Solution

    |

  13. If A and B are independent events of a random experiment such that P(A...

    Text Solution

    |

  14. Let S he the sample space associated with the random experiment of thr...

    Text Solution

    |

  15. If the probability distribution of a random variable X is as given bel...

    Text Solution

    |

  16. The sum of the mean and variance of a binomial distribution is 15 and ...

    Text Solution

    |

  17. India plays two matches each with West Indies and Australia. In any ma...

    Text Solution

    |

  18. If A and B are independent events such that P(A) gt 0, P(B) gt 0, then

    Text Solution

    |

  19. If random variable X has the following probability distribution then t...

    Text Solution

    |

  20. In an entrance examination there are multiple dioice questions. Ihere ...

    Text Solution

    |