A bag contains 30 white balls and 10 red balls. 16 are drawn one by one randomly from the bag with replacement. If X be the number of white balls drawn, then (mean of Xstandard deviation of X) is equal to :
A
3√2
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B
4√33
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C
4√3
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D
4
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Solution
The correct option is C4√3 p=3040=34q=1040=14n=16 ∴ Mean, μ=np=16×34=12
Standard deviation, σ=√npq=√16×34×14=√3
Hence, (mean of Xstandard deviation of X)=12√3=4√3