For an alumni meeting, three people are in charge of buying frozen yogurt. The person 1 buys 40%, person 2 buys 30%, and person 3 buys the rest of the yogurts. We know that some of the yogurts are non-fat as following: 20% of yogurts bought by person 1 10% of yogurts bought by person 2 30% of yogurts bought by person 3 a. What is the probability that a randomly selected yogurt is non-fat? b. An alumni selects a yogurt. What is the probability that the yogurt is bought by person 1, if we know that it is a non-fat yogurt? c. Are the events "purchased by person 1" and "non-fat" independent? Justify your answer.
For an alumni meeting, three people are in charge of buying frozen yogurt. The person 1 buys 40%, person 2 buys 30%, and person 3 buys the rest of the yogurts. We know that some of the yogurts are non-fat as following: 20% of yogurts bought by person 1 10% of yogurts bought by person 2 30% of yogurts bought by person 3 a. What is the probability that a randomly selected yogurt is non-fat? b. An alumni selects a yogurt. What is the probability that the yogurt is bought by person 1, if we know that it is a non-fat yogurt? c. Are the events "purchased by person 1" and "non-fat" independent? Justify your answer.
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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Transcribed Image Text:For an alumni meeting, three people are in charge of buying frozen yogurt. The
buys 40%, person 2 buys 30%, and person 3 buys the rest of the yogurts. We know that some
of the yogurts are non-fat as following:
person
1
20% of yogurts bought by person 1
10% of yogurts bought by person 2
30% of yogurts bought by person 3
a. What is the probability that a randomly selected yogurt is non-fat?
b. An alumni selects a yogurt. What is the probability that the yogurt is bought by person 1,
if we know that it is a non-fat yogurt?
c. Are the events "purchased by person 1" and "non-fat" independent? Justify your answer.
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