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प्रश्न
Compute P(X = k) for the binomial distribution, B(n, p) where
n = 10, p = `1/5`, k = 4
उत्तर
P(X = x) = `""^"n""C"_x "p"^x "q"^("n" - x)`
x = 0, 1, 2, ...., n
p = `1/5`
q = 1 – p
= `1 - 1/5`
= `4/5`
P(X = 4) = `""^10"C"_4 (1/5)^4 (4/5)^6`
= `210 xx (1/5)^4 (4/5)6`
= `20 xx 4^6/5^10`
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