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Let X~B(n,p), if E(X)=5,Var(X)=2.5 then ...

Let `X~B(n,p)`, if E(X)=5,Var(X)`=2.5` then `P(X lt 1)` is equal to

A

`((1)/(2))^(11)`

B

`((1)/(2))^(10)`

C

`((1)/(2))^(6)`

D

`((1)/(2))^(9)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • Let X ~ B (n, p ), if E (X) = 5, Var (X) = 2.5, then P(X<1) is

    A
    `(1/2)^11`
    B
    `(1/2)^10`
    C
    `(1/2)^6`
    D
    `(1/2)^9`

  • For X ~ B (n,p),if E(X) = 5, Var (X) = 2.5, then p =

    A
    0.1
    B
    0.2
    C
    0.5
    D
    0.6

  • For X ~ B (n,p),if E(X) = 18, Var(X) =12, then p =

    A
    `1/3`
    B
    `2/3`
    C
    `3/4`
    D
    `1/4`

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