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There are 30 white balls and 10 red ball...

There are 30 white balls and 10 red balls in bag. 16 balls are drawn with replacement from the bag. If `X` be the number of white balls drawn then the value of `(mean(X))/(standard deviation(X))` is equal to (A) `4sqrt3` (B) `2sqrt3` (C) `3sqrt3` (D) `3sqrt2`

A

`3 sqrt2`

B

`(4 sqrt3)/(3)`

C

`4 sqrt3`

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
`30W, 10R`
`n =16, p (omega)=3/4 =p,p® =1/4 =q`
`("Mean of X")/("Standard deviation of X") = (n P )/(sqrt(npq))=4 sqrt3.`
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