Exercise 8.9 A restaurant sells three different types of dessert: chocolate, brownies,yogurt with seasonal fruits, and lemon tart. Years of experience have shown that theprobabilities with which the desserts are chosen are 0.2, 0.3, and 0.5, respectively.(a) What is the probability that out of 5 guests, 2 guests choose brownies, I guestchooses yogurt, and the remaining 2 guests choose lemon tart?(b) Suppose two out of the five guests are known to always choose lemon tart. Whatis the probability of the others choosing lemon tart as well?(c) Determine the expectation and variance assuming a group of 20 guests.

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Answered: Exercise 8.9 A restaurant sells three…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $30,000, a $125 gas card, or a $5 shopping card. To claim his or her prize, a prospective customer needed to present the flier at the dealership's showroom. The fine print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31,729, the chance of winning the gas card was 1 out of 31,729, and the chance of winning the shopping card was 31,727 out of 31,729. Complete parts (a) through (d). a. How many fliers do you think the automobile dealership sent out? Assume there is one car and one gas card available. 31729 fliers C b. Using your answer to (a) and the probabilities listed on the flier, what is the expected value of the prize won by a prospective customer receiving a flier? H=$5.95 (Round to the nearest cent as needed.) c. Using your answer to (a) and the probabilities…
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