Question

Evaluate StartFraction n exclamation mark Over left parenthesis n minus x right parenthesis exclamation mark x...

Evaluate StartFraction n exclamation mark Over left parenthesis n minus x right parenthesis exclamation mark x exclamation mark EndFraction p Superscript x Baseline times left parenthesis 1 minus p right parenthesis Superscript n minus xn!(n−x)!x!px•(1−p)n−x for nequals=1818​, pequals=one fifth15​, xequals=22. The answer is       ?

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Answer #1

Solution

Given that ,

Using binomial probability formula ,

P(X = x) = (n C x) * px * (1 - p)n - x

P(X = 2) = (18 C 2) * 0.22 * (0.8)16

= 0.1723

Probability = 0.1723

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