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 ten syringes taken from the batch. Suppose the batch contains 1% defective syringes.

(a)

Make a histogram showing the probabilities of r = 0, 1, 2, 3, …, 9 and 10 defective syringes in a random sample of ten syringes. (Select the correct graph.)

    

(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

Answer:

Given that,

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 ten syringes taken from the batch.

Suppose the batch contains 1% defective syringes.

(a).

Make a histogram showing the probabilities of r = 0, 1, 2, 3, …, 9, and 10 defective syringes in a random sample of ten syringes:

You didn't mention graph pics.

(b).

Find μ:

The mean of distribution = μ =np=0.10.

The expected number= 0.10.

(c).

What is the probability that the batch will be accepted:

The probability that the batch will be accepted:

=0.996

(d).

Find σ :

The standard deviation σ =

=0.315

**Please comment on any doubt.