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Given X ~ B( n, p) if p =0.6 E(X) =6, t...

Given X ~ B( n, p) if p =0.6 E(X) =6, then the value of Var (X) is

A

`2.4`

B

`2.6`

C

`2.5`

D

`2.3`

Text Solution

Verified by Experts

The correct Answer is:
A
E(x)=np.
`implies6=n(0.6)`
`impliesn=(6)/(0.6)=10`
`impliesq=1-p=1-0.6=0.4`
`:.Var(x)=npq=10xx0.6xx0.4=2.4`
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