Solution
Given that ,
p = 0.02
1 - p = 1 - 0.02 = 0.98
n = 40
x = 2
Using binomial probability formula ,
P(X = x) = ((n! / x! (n - x)!) * px * (1 - p)n - x
P(X = 2) = ((40! / 2! (38)!) * 0.022 * (0.98)38
= 0.1448
P(2) = 0.1448
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