A company that produces fine crystal knows from experience

Chapter 4, Problem 49E

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QUESTION:

A company that produces fine crystal knows from experience that 10% of its goblets have cosmetic flaws and must be classified as “seconds.”

a.  Among six randomly selected goblets, how likely is it that only one is a second?

b.  Among six randomly selected goblets, what is the probability that at least two are seconds?

c.  If goblets are examined one by one, what is the probability that at most five must be selected to find four that are not seconds?

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QUESTION:

A company that produces fine crystal knows from experience that 10% of its goblets have cosmetic flaws and must be classified as “seconds.”

a.  Among six randomly selected goblets, how likely is it that only one is a second?

b.  Among six randomly selected goblets, what is the probability that at least two are seconds?

c.  If goblets are examined one by one, what is the probability that at most five must be selected to find four that are not seconds?

ANSWER:

Step 1 of 3

a.  Among six randomly selected goblets, how likely is it that only one is a second

     p = 10%

     p = 0.1 and n = 6

     

                    =

                    =  0.3542

     Therefore, the probability one of 6 has a flaw is 0.3542.

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