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In an Italian restaurant, a waitress has observed that 80% of her customers orde

ID: 3317886 • Letter: I

Question

In an Italian restaurant, a waitress has observed that 80% of her customers order coffee and 15% of her customers order both biscotti and coffee. Define A-a randomly selected customer orders coffee B- a randomly selected customer orders biscotti e the answers to two decima (a Express the waitress's observations as probability statements involving events A and B ( P(A)-80 P(A and B)-15 places. (b) What is the conditional probability that a randomly selected customer would order a biscotti, given that he or she orders coffee? (Give the answer to four decimal places.) 1875 (c) What is the conditional probability that a customer would not order a biscotti, given that he or she orders coffee? (Give the answer to four decimal places.)

Explanation / Answer

conditional probability that customer would not order a biscotti ;given orders coffee =1-P(Anad B)/P(A)= 1-0.1875

=0.8125

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