Question

Spark Plugs: Assume that 4% of all spark plugs are defective. Find the requested probabilities and round your answers to 3 significant digits*.

(a) If you buy one spark plug, what is the probability that it is not defective?

(b) If you buy 4 spark plugs, what is the probability that all 4 are not defective?

(c) If you buy 4 spark plugs, what is the probability that at least one is defective?

Answer 1

a) P(not defective) = 1 - P(defective)
P(not defective) = 1 - 0.04
P(not defective) = 0.96

This is a binomial distribution question with
n = 4
p = 0.04
q = 1 - p = 0.96
where

4 are not defective means 0 defective spark plugs



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