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.**

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