A production process produces 2% defective parts. a sample of 5 parts from the production is selected. what is the probability that the sample contains exactly two defective parts? use the binomial probability function and show your computations to answer this question.

Question

Mathematics

Ciara Cochran

5 September, 16:03

A production process produces 2% defective parts. a sample of 5 parts from the production is selected. what is the probability that the sample contains exactly two defective parts? use the binomial probability function and show your computations to answer this question.

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Answers (1)

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Lisa Kent · Answer 1

Possible outcomes: defective/non defective

Applying Binomial distribution equation

p (x) = [N!/x! (N-x) !] * (p^x) (q) ^N-x

Where,

p = 2% = 0.02

N = 5

And then,

q = 1-p = 1-0.02 = 0.98

x = 2

N-x = 5-2 = 3

Substituting;

p (2) = [5!/2! (5-2) !]*0.02^2*0.98^3 = 0.00376 = 0.376%