Home
Class 12
MATHS
If p.m.f of a r.v.X is P(X)=P(A)=(4/x)(5...

If p.m.f of a r.v.X is `P(X)=P(A)=(4/x)(5/9)^x.(4/9)^(4-x)`,x=0,1,2,3,4 then E(X)=………….

A

`22.4`

B

`22.2`

C

`2.24`

D

`2.22`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Applications of Derivatives

    CHETANA PUBLICATION|Exercise Exercise|144 Videos
  • Definite integration

    CHETANA PUBLICATION|Exercise Exercise|111 Videos

Similar Questions

Explore conceptually related problems

Let the p.m.f or r.v.x be P(X)=(4/x)(5/x)^x(4/9)^(4-x) ,x=0,1,2,3,4.Find E(X) and V(x).

If p.m.f of a d.r.v.X is P(X=x)=(^5C_X)/2^5 , for x=0,1,2,3,4,5 and =0 ,otherwise If a=P(Xle2) and b=P(Xge3) ,then E(X)=

The p.m.f. of a r.v. is P(X=x)={{:((1)/(2^(5))""^(5)C_(x)","x=0","1","...","5),(0", otherwise"):},"then "P(Xle2) =

The p.m.f. of a r.v. X is P(x)={{:(kx^(2)","x=1","2","3","4),(0", otherwise"):} , then E (X) =

CHETANA PUBLICATION-BINOMIAL DISTRIBUTION-EXERCISE
  1. For a binomial distribution,n=5.If P(X=4)=P(X=3) then p=…….

    Text Solution

    |

  2. A coin is tossed four times,then the expected value of the number of h...

    Text Solution

    |

  3. If p.m.f of a r.v.X is P(X)=P(A)=(4/x)(5/9)^x.(4/9)^(4-x),x=0,1,2,3,4 ...

    Text Solution

    |

  4. A fair coin is tossed 9 times.The probability that it shows exactly 5 ...

    Text Solution

    |

  5. The probability of guessing correctly at least six of 10 answers in Tr...

    Text Solution

    |

  6. X is a binomial variate with E(X)=4 and standard deviation =sqrt 3,the...

    Text Solution

    |

  7. If a fair die is rolled 5 times,what is the probability that two of th...

    Text Solution

    |

  8. X~B(n,P) if n=6 and P[x=4]=P[x=2] then P=

    Text Solution

    |

  9. A fair coin tossed 8 times.The probability that it shows heads a large...

    Text Solution

    |

  10. If mean of a binomial distribution is 3 and variance is 3/2 the proba...

    Text Solution

    |

  11. If X~B(n,P) and E(X)=12,Var(X)=4,then n=?

    Text Solution

    |

  12. A die is thrown three times.The probability of obtaining at most two s...

    Text Solution

    |

  13. In a binomial distribution,n=4.If 2P(X=3)=3P(X=2)then p=……….

    Text Solution

    |

  14. Given that X~B(n=10,P) and E(X)=8,find the value of P.

    Text Solution

    |

  15. The probability that the certain kind of component will survive a chec...

    Text Solution

    |

  16. Let the p.m.f or r.v.x be P(X)=(4/x)(5/x)^x(4/9)^(4-x),x=0,1,2,3,4.Fin...

    Text Solution

    |

  17. Let X~B(n,P) (i) If n=10,E(X)=5,find P and Var(X)

    Text Solution

    |

  18. LetX~B(n,p)(ii)If E(X)=5 and Var(X)=2.5,find n and p.

    Text Solution

    |

  19. A fair coin is tossed 6 times.Find the probability that it shows a lar...

    Text Solution

    |

  20. Let X~B(n,p),if E(x)=5 and Var(x)=2.5,find n and p.

    Text Solution

    |