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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Customers are used to evaluate preliminary product designs. In the past, 95% of highly successful products received good reviews, 40% of moderately successful products received good reviews, and 10% of poor products received good reviews. In addition, 40% of products have been highly successful, 35% have been moderately successful, and 20% have been poor products. What is the probability that a product attains a good review? If a new design attains a good review, what is the probability that it will be a highly successful product? O a. 0.460, 0.620 O b.0.585, 0.615 OC. NONE O d. 0.540, 0.704
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The accidents that occur in a manufacturing company were classified by severity (strong, moderate and mild) and by sex with the following characteristics: 40% of the accidents were strong and 30% were moderate. Women suffered 20% of the accidents. Of the total number of serious accidents, men suffered 85.5% of the accidents. Similarly, of the total moderate accidents, women suffered 45% of the accidents. Calculate the following probabilities:- If a woman suffered an accident, what is the probability that it was minor?- If a man suffered an accident, what is the probability that he is strong?
A social event allows free entrance to those with Aim High credit card or those with the car Elite. The probabilities of having Aim High and Elite among the employees of a company are 0.10 and 0.05, respectively. Having Aim High is found to be independent of owning Elite. If 1,000 invitations are sent randomly to employees of the company, estimate the number who will be given free entrance.

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