Question

In: Statistics and Probability

A quality control manager for Hewlett Packard has collected the following data on the quality status...

A quality control manager for Hewlett Packard has collected the following data on the quality status of hard drives by supplier. She inspected a total of 700 hard drives. For a hard drive selected at random, answer the questions that follow the table.

Hard Drive Status

            Supplier

Working

Defective

TOTAL

Company A

123

10

133

Company B

181

15

196

Company C

51

5

56

Company D

303

12

315

TOTAL

658

42

For a hard drive selected at random, find the probability that it was from Company B and was defective.

ANSWER:  (Report your answer to 4 decimal places, using conventional rounding rules)

Given the fact that a specific hard drive selected at random is defective, find the probability that the supplier was Company C.

ANSWER:  (Report your answer to 4 decimal places, using conventional rounding rules)

For a hard drive selected at random, what is the probability that it is from Company D or is working?

ANSWER:  (Report your answer to 4 decimal places, using conventional rounding rules)

For a hard drive selected at random, what is the probability that it was not supplied by company D?

ANSWER:  (Report your answer to 4 decimal places, using conventional rounding rules)

Given the fact that a specific hard drive selected at random is from company A, find the probability that it is working.

ANSWER:  (Report your answer to 4 decimal places, using conventional rounding rules)

Solutions

Expert Solution

For a hard drive selected at random, find the probability that it was from Company B and was defective.

Answer: The probability that it was from Company B and was defective is given below:

Given the fact that a specific hard drive selected at random is defective, find the probability that the supplier was Company C.

Answer: The probability that the supplier was from company C given that a specific hard drive is defective is given below:

For a hard drive selected at random, what is the probability that it is from Company D or is working?

Answer: The probability that it is from Company D or is working is given below:

For a hard drive selected at random, what is the probability that it was not supplied by company D?

Answer: The probability that it was not supplied by company D is given below:

  

Given the fact that a specific hard drive selected at random is from company A, find the probability that it is working.

Answer: The probability that a randomly selected hard drive is working given that it is from company A is given below:

orchestra answered 2 years ago
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