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Mark the correct alternative in the following:
A fair coin is tossed 99 times. If X is the number of times heads occur, then P(X = r) is maximum when r is
Given:
n=99
p(H)=P(T)=1/2
P(x=r)= nCr pr qn-r
P(x=r)= nCr pn
nCr =
Its maximum value is closest near n/2
Since n is an odd number, so it have two values:
i.e.
S0, r= 49,50