Question

The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of six syringes taken from the batch. Suppose the batch contains 5% defective syringes.

(a)

Make a histogram showing the probabilities of r = 0, 1, 2, 3, …, 5 and 6 defective syringes in a random sample of six syringes.

(b)

Find μ (in terms of the number of syringes). (Enter a number. Enter your answer to two decimal places.)
μ =  syringes

What is the expected number of defective syringes the inspector will find? (Enter a number. Enter your answer to two decimal places.)
syringes

(c)

What is the probability that the batch will be accepted? (Enter a number. Round your answer to three decimal places.)

(d)

Find σ (in terms of the number of syringes). (Enter a number. Round your answer to three decimal places.)
σ =  syringes

Answer 1