Question

If the probability of a machine producing a defective part is 0.05, what is the probability of

finding exactly 5 defective parts from a sample of 100? (Assume that the process follows a

binomial distribution and round answer to four places)
​

Answer 1

0.1800 to 4 places of decimals.

Explanation:

Using the Binomial formula

Probability = 10C5* (0.95)^95 * (0.05)^5

= 100! / 95!*5! * (0.95)^95 * (0.05)^5

= 0.1800178.