Home
Class 12
MATHS
The mean and the variance of a binomial ...

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

A

`(37)/(256)`

B

`(219)/(256)`

C

`(128)/(256)`

D

`(28)/(256)`

Text Solution

Verified by Experts

The correct Answer is:
D
Given `np=4,npq=2`
`impliesp=q=(1)/(2)`
Also, `n=8`
`therefore` Probability of 2 successes,
`P(X=2)=(8!)/(2!xx6!)xx((1)/(2))^(2)xx((1)/(2))^(6)=(28)/(256)`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 09

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

  • PRACTICE SET 11

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS )|50 Videos

Similar Questions

Explore conceptually related problems

The mean and the variance of a binomial distribution are 4 and 2 respectively.Then the probability of 3 successes is

The mean and the variance of a binomial distribution are 4 and 2 respectively.then, the probabitly of 2 , successes is

Mean and variance of a binomial distribution are 4 and 2 respectively . Then probability of 3 successes is

The mean and variance of a binomial distribution are 30 and 5, respectively. Then probability of two successes is

The mean and variance of a binomial distribution are 30 and 5, respectively. Then probability of two successes is

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

The mean and variance of a binomial distribution are 4 and 3 respectively. Then the probability of getting exacatly six successes in this distribution, is

The mean and varaince of binomial distribution are 4 and 3, respectively. Then, the probability of getting exactly six success in this distribution is

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

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 10-PAPER 2 (MATHEMATICS)
  1. For a party 7 guests are invited by a husband and his wife. They sit i...

    Text Solution

    |

  2. Find the area of the closed figure bounded by the curves y=sqrt(x),y=s...

    Text Solution

    |

  3. int(dx)/(xsqrt(x^(6)-16))=

    Text Solution

    |

  4. The locus of the point which divides the double ordinates of the el...

    Text Solution

    |

  5. Determine the ratio in which the line 3x+y-9=0 divides the segment joi...

    Text Solution

    |

  6. The angle between the lines sqrt(3)x-y-2=0 and x-sqrt(3)y+1=0 is

    Text Solution

    |

  7. The bisector of the acute angle formed between the lines 4x - 3y + 7 ...

    Text Solution

    |

  8. The value of i^2 + i^4 + i^6 + i^8....upto (2n+1) terms , where i^2 = ...

    Text Solution

    |

  9. The coordinate of the point of intersection of the line (x-1)/(1)=(y+2...

    Text Solution

    |

  10. The acute angle between the line joining the points (2,1,-3) and (-3,1...

    Text Solution

    |

  11. If 0ltaltb, then lim(nto oo) (a^(n)+b^(n))/(a^(n)-b^(n))

    Text Solution

    |

  12. if tan(k+1)theta=tantheta, then theta belongs to the set

    Text Solution

    |

  13. If A and B are two matrices such that AB=B and BA=A , then A^2+B^2=

    Text Solution

    |

  14. If |a|=|b|=1 and |a+b|=sqrt(3), then the value of (3a-4b)(2b+5b) is

    Text Solution

    |

  15. The value of sec[tan^(-1)((b+a)/(b-a))-tan^(-1)((a)/(b))] is

    Text Solution

    |

  16. If, in DeltaABC,a=16,b=24,c=20 then, sin((A)/(2))=

    Text Solution

    |

  17. A person draws a card from a well shuffled pack of 52 playing cards. R...

    Text Solution

    |

  18. The mean and the variance of a binomial distribution are 4 and 2 respe...

    Text Solution

    |

  19. if DeltaABC,a=18,b=24,c=30, then the area of the triangle is

    Text Solution

    |

  20. The number of values of theta in the interval [-pi,pi] satisfying the ...

    Text Solution

    |