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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 the probabilities 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 guest chooses yogurt, and the remaining 2 guests choose lemon tart? (b) Suppose two out of the five guests are known to always choose lemon tart. What is the probability of the others choosing lemon tart as well? (c) Determine the expectation and variance assuming a group of 20 guests.

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 the probabilities 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 guest chooses yogurt, and the remaining 2 guests choose lemon tart? (b) Suppose two out of the five guests are known to always choose lemon tart. What is the probability of the others choosing lemon tart as well? (c) Determine the expectation and variance assuming a group of 20 guests.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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 the probabilities 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 guest chooses yogurt, and the remaining 2 guests choose lemon tart? (b) Suppose two out of the five guests are known to always choose lemon tart. What is the probability of the others choosing lemon tart as well? (c) Determine the expectation and variance assuming a group of 20 guests.
Transcribed Image Text: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 the probabilities 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 guest chooses yogurt, and the remaining 2 guests choose lemon tart? (b) Suppose two out of the five guests are known to always choose lemon tart. What is 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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