Question

A production process produces 5% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts

Answer 1

0.0214

Explanation:

Given that :

p = 5% = 0.05

Number of trials (n) = 5

probability that the sample contains exactly two defective parts

P(x = 2)

Using the binomial probability function :

P(x = x) = nCr * p^x * (1 - p)^(n-x)

P(x = 2) = 5C2 * 0.05^2 * (0.95)^3

P(x = 2) = 5C2 * 0.05^2 * (0.95)^3

P(x = 2) = 10 * 0.0025 * 0.857375

= 0.021434375

= 0.0214