Home
Class 12
MATHS
If in a binomial distribution n=4,\ P(X=...

If in a binomial distribution `n=4,\ P(X=0)=(16)/(81),\ t h e n\ P(X=4)`equals a. `1/(16)` b. `1/(81)` c. `1/(27)` d. `1/8`

Text Solution

Verified by Experts

Let `p` be the probability of success and `q` that of failure in trail
Then, `P(X=0) = ^4C_0 P^0 q^4 = 16/81`
`Rightarrow q^4 = (2/3)^4 (since \ ^n C_0 = 1)`
`Rightarrow q=2/3`
...
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

If in a binomial distribution n=4 and p9X=00=(16)/(81),f in dq

If for a binomial distribution P(X=1)=P(X=2)=alpha, write P(X=4) in terms of alpha.

If for a binomial distribution with n=5, 4P(X=1)=P(X=2) , the probability of success is

For a binomial variable X if n=5 and P(X=1)=8P(X=3), then p=

If X follows a binomial distribution with parameters n=8 and p=1//2 , then p(|X-4|le2) equals

If X follows a binomial distribution with parameters n=6 and p. If 4(P(X=4))=P(X=2) , then P=

If A and B are two independent events with P(A)=3/5a n d\ P(B)=4/9, t h e n\ P( A nn B ) equals 4/(15) b. 8/(45) c. 1/3 d. 2/9

Let a random variable X have a binomial distribution with mean 8 and variance 4. If P(X<=2)=(k)/(2^(16)), then k is equal to :

If A and B are two events such that P(A)=4/5, a n d\ P(AnnB)=7/(10), t h e n\ P(B//A)= 1//10 b. 1//8 c. 7//8 d. 17//20

RD SHARMA-BINOMIAL DISTRIBUTION -Solved Examples And Exercises
  1. If X follows binomial distribution with parameters n=5,\ p\ a n d\ P(X...

    Text Solution

    |

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

    Text Solution

    |

  3. If in a binomial distribution n=4,\ P(X=0)=(16)/(81),\ t h e n\ P(X=4)...

    Text Solution

    |

  4. A rifleman is firing at a distance target and hence has only 10% ch...

    Text Solution

    |

  5. A fair coin is tossed a fixed number of times. If the probability of g...

    Text Solution

    |

  6. A fair coin is tossed 100 times. The probability of getting tails an o...

    Text Solution

    |

  7. A fair die is thrown 20 times. The probability that on the 10th thr...

    Text Solution

    |

  8. Suppose a random variable X follows the binomial distribution with par...

    Text Solution

    |

  9. Let X denote the number of times heads occur in n tosses of a fair coi...

    Text Solution

    |

  10. One hundred identical coins, each with probability p , of showing up h...

    Text Solution

    |

  11. A fair coin is tossed 99 times. If X is the number of times heads occu...

    Text Solution

    |

  12. How many times must a man toss a fair coin so that the probability of ...

    Text Solution

    |

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

    Text Solution

    |

  14. A biased coin with probability p, 0ltplt1 of heads is tossed until a h...

    Text Solution

    |

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

    Text Solution

    |

  16. If X follows a binomial distribution with parameters n=100 and p = 1/...

    Text Solution

    |

  17. A fair die is tossed eight times. The probability that a third six is ...

    Text Solution

    |

  18. Fifteen coupens are numbered 1,2,3,...15 respectively. Seven coupons a...

    Text Solution

    |

  19. A five-digit number is written down at random. The probability that th...

    Text Solution

    |

  20. If a fair coin is tossed 10 times, find the probability of (i)     ...

    Text Solution

    |