Three times each day, a quality engineer samples a

Chapter 2, Problem 4E

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QUESTION:

Three times each day, a quality engineer samples a component from a recently manufactured batch and tests it. Each part is classified as conforming (suitable for its intended use), downgraded (unsuitable for the intended purpose but usable for another purpose), or scrap (not usable). An experiment consists of recording the categories of the three parts tested in a particular day.

a. List the 27 outcomes in the sample space.

b. Let A be the event that all the parts fall into the same category. List the outcomes in A.

c. Let B be the event that there is one part in each category. List the outcomes in B.

d. Let C be the event that at least two parts are conforming. List the outcomes in C.

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QUESTION:

Three times each day, a quality engineer samples a component from a recently manufactured batch and tests it. Each part is classified as conforming (suitable for its intended use), downgraded (unsuitable for the intended purpose but usable for another purpose), or scrap (not usable). An experiment consists of recording the categories of the three parts tested in a particular day.

a. List the 27 outcomes in the sample space.

b. Let A be the event that all the parts fall into the same category. List the outcomes in A.

c. Let B be the event that there is one part in each category. List the outcomes in B.

d. Let C be the event that at least two parts are conforming. List the outcomes in C.

ANSWER:

Step 1 of 6

We have a quality engineer samples a component from a recently manufactured batch and tests it 3 times each day. Each part is classified as

1). Conforming

2). Downgraded and

3). Scrap.

An experiment consists of recording the categories of the three parts tested in a particular day.

We need to find,

     a).  We need to List the 27 outcomes in the sample space.

     b).  Let A be the event that all the parts fall into the same category. We need to  List the outcomes in A.

     c).  Let B be the event that there is one part in each category. We need to List the outcomes in B.

     d).  Let C be the event that at least two parts are conforming. We need to List the outcomes in C.

     e).  We need to List the outcomes in A  C.

     f).  We need to List the outcomes in A  B.

     g).  We need to List the outcomes in .

     h).  We need to List the outcomes in .

     i).  We need to check Are events A and C mutually exclusive? Explain.

     j).  We need to check Are events B and C mutually exclusive? Explain.

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