Question

5% of items in a large batch of items produced at a local foundry' are defective. If 50 of these items are selected at random, what is the probability that exactly 2 of the items will be defective? Round to four decimal places.

Answer 1

0.2611

Explanation:

We have x to be binomially distributed random variable which denotes the items number that are defective

We have been given n = 59 as our sample size

Probability of 5% = probability of success

1-5% = 0.95

We solve using this formula

nCxP^xq^n-x

= 50C2(0.05)²(0.95)^50-2

= 0.2611

This is the probability that exactly 2 would be defective