Whether a customer at a carry-out restaurant leaves a tip is a random variable. The probability that a customer leaves a tip is 0.42. The probability that one customer leaves a tip is independent of whether another customer leaves a tip. Let leaving a tip represent a “success” and not leaving a tip represent a “failure.” Does this problem describe a discrete or continuous random variable?What kind probability distribution fits the random variable described in this problem?What is the probability that a customer does not leave a tip?Calculate the mean and variance of this distribution.What is the probability that on a day with 100 customers, exactly 50 of them leave a tip?

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Answered: Does this problem describe a discrete…

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...

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Whether a customer at a carry-out restaurant leaves a tip is a random variable. The probability that a customer leaves a tip is 0.42. The probability that one customer leaves a tip is independent of whether another customer leaves a tip. Let leaving a tip represent a “success” and not leaving a tip represent a “failure.”

Does this problem describe a discrete or continuous random variable?
What kind probability distribution fits the random variable described in this problem?
What is the probability that a customer does not leave a tip?
Calculate the mean and variance of this distribution.
What is the probability that on a day with 100 customers, exactly 50 of them leave a tip?

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