Questions
One hundred identical coins, each with probability , of showing up heads are tossed once. If 0 < < 1 and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, then value of is
detailed solution
Correct option is D
P(x=50)=P(x=51)⇒100C50(p)50(1−p)50=100C51(p)51(1−p)49 [ formula P( x=r ) =c(n,r) qn-r·pr ] ⇒1−pp=5051 ( since C(n,r )C(n,r-1)=n-r+1r )⇒p=51101Similar Questions
If for a Binomial distribution the mean is 10 and the standard deviation is
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