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Question
Compute P(X = k) for the binomial distribution, B(n, p) where
n = 9, p = `1/2`, k = 7
Solution
P(X = x) = `""^"n""C"_x "p"^x "q"^("n" - x)`
x = 0, 1, 2, ..., n
p = `1/2`
q = 1 – p
= `1/2`
P(X = 7) = `""^9"C"_7 (1/2)^7 (1/2)^2`
= `(9 xx 8)/2 xx 1/2^9`
= `36 xx 1/512`
= `9/128`
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