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)

Question

Edward Kemp

Mathematics

3 June, 18:15

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)

+1

Answers (1)

Know the Answer?

Edward Cole · Answer 1

0.1800 to 4 places of decimals.

Step-by-step explanation:

Using the Binomial formula

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

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

= 0.1800178.

If the probability of a machine producing a defective part is 0.05, what is the probability offinding exactly 5 defective parts from a sample of 100? (Assume that the process follows abinomial distribution and round answer to four places)

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)