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A customer visiting the suit department of a certain store

Chapter 2, Problem 2STE

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QUESTION:

Problem 2STE

A customer visiting the suit department of a certain store will purchase a suit with probability .22, a shirt with probability .30, and a tie with probability .28. The customer will purchase both a suit and a shirt with probability .11, both a suit and a tie with probability .14, and both a shirt and a tie with probability .10. A customer will purchase all 3 items with probability .06. What is the probability that a customer purchases

(a) none of these items?

(b) exactly 1 of these items?

Questions & Answers

QUESTION:

Problem 2STE

A customer visiting the suit department of a certain store will purchase a suit with probability .22, a shirt with probability .30, and a tie with probability .28. The customer will purchase both a suit and a shirt with probability .11, both a suit and a tie with probability .14, and both a shirt and a tie with probability .10. A customer will purchase all 3 items with probability .06. What is the probability that a customer purchases

(a) none of these items?

(b) exactly 1 of these items?

ANSWER:

Step 1 of 3

A customer who visits the suit department of a certain store will purchase a suit with probability 0.22, a shirt with probability 0.30, and a tie with probability 0.28.

The customer will purchase both a suit and a shirt with probability 0.11, both a suit and tie with probability 0.14, and both a shirt and a tie with probability 0.10.

And a customer will purchase all 3 items with probability 0.06.

(a) We have to find the probability that a customer purchases none of these items.

(b) We need to find the probability that a customer purchases exactly 1 of these items.

 

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