Home
Class 12
MATHS
If X is a Poisson variate such that P(X=...

If X is a Poisson variate such that `P(X=2)=9P(X=4)`, then the mean and variance of X are

A

`1,1`

B

`2,2`

C

`(2)/(3),(2)/(3)`

D

`(2)/(sqrt 3),(2)/(sqrt 3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -1)|4 Videos

  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -2)|3 Videos

  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -4)|5 Videos

  • THE PLANE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET 4|4 Videos

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

If X is a Poisson variate such that P(X=0)=P(X=1) , then the parameter lambda=

If X is a Poisson variate such that P(X=2)=9P(X=4)+90P(X=6) , then mean of X is

If a random variable X has a Poisson distribution such that P(X=2)=P(X=3) then its mean and variance are

A : If X is a poisson variate such that P(X=2)=9P(X=4) then variance =2//3 R : The variancen of a poisson variate with parameter lambda .

If X is a poisson variate such that P(X=0)=P(X=1)=K , then show that K = 1/e

If X is a Poisson variable with P(X=0)=P(X=1) then P(X=2)=

If X is a Poisson variate and P(X=1)=2P(X=2) them P(X=3)=

If X is a Poisson distribution such that P(X=1)=P(X=2) then the parameter is

DIPTI PUBLICATION ( AP EAMET)-THEORETICAL DISTRIBUTIONS-EXERCISE 1 (CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVE 1,2,3 OR 4 GIVEN )
  1. In a Poisson distribution P(X=0) is twice the P(X=1). The mean is

    Text Solution

    |

  2. In a Poisson distribution P(X=0) =2P(X=1) then the standard deviation ...

    Text Solution

    |

  3. If X is a Poisson variate such that P(X=2)=9P(X=4), then the mean and ...

    Text Solution

    |

  4. If x is a Poisson distribution such that P(X=2)=(2)/(3)P(X=1) then ...

    Text Solution

    |

  5. If X is a Poisson variate such that P(X=2)=9P(X=4)+90P(X=6), then mean...

    Text Solution

    |

  6. In a Poission X, If P(X=0)=0.2 then the variance of the distribution i...

    Text Solution

    |

  7. If X is a Poisson variate with P(X=0)=0.8, then the variance of X is

    Text Solution

    |

  8. If X is a Poisson distribution with parameter lambda =3//2 and e^(-3//...

    Text Solution

    |

  9. At a telephone enquiry system the number of phone calls regarding rele...

    Text Solution

    |

  10. In a Poisson distribution the variance is m . The sum of the terms in ...

    Text Solution

    |

  11. If 3% of electric bulbs manufactured by a company are defective , then...

    Text Solution

    |

  12. If 2% of a given lot of manufactured parts are defective , then the pr...

    Text Solution

    |

  13. If 3% of the electric bulbs manufactured by a company are defective , ...

    Text Solution

    |

  14. A book contains 100 misprints distributed randomly through out its 100...

    Text Solution

    |

  15. In a book of 500 pages , it is found that there are 250 typing errors ...

    Text Solution

    |

  16. Suppose on an average 1 house in 1000 in a certain district has a fire...

    Text Solution

    |

  17. If on an average 5 precent of the output of a factory making certain p...

    Text Solution

    |

  18. In a city 10 accident take place in a span of 50 days. Assuming that t...

    Text Solution

    |

  19. If ten precent of the tools produced in a factory turn out to be defec...

    Text Solution

    |

  20. A company knows on the basis of past experience that 2% of its blades ...

    Text Solution

    |