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Let X be the number of the cars being repaired at a repair shop. We have the following information: • At any time, there are at most 3 cars being repaired. • The probability of having 2 cars at the shop is the same as the probability of having one car. • The probability of having no car at the shop is the same as the probability of having 3 cars. • The probability of having 1 or 2 cars is half of the probability of having 0 or 3 cars. Find the PMF of X.

Let X be the number of the cars being repaired at a repair shop. We have the following information: • At any time, there are at most 3 cars being repaired. • The probability of having 2 cars at the shop is the same as the probability of having one car. • The probability of having no car at the shop is the same as the probability of having 3 cars. • The probability of having 1 or 2 cars is half of the probability of having 0 or 3 cars. Find the PMF of X.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Let X be the number of the cars being repaired at a repair shop. We have the following information: • At any time, there are at most 3 cars being repaired. • The probability of having 2 cars at the shop is the same as the probability of having one car. • The probability of having no car at the shop is the same as the probability of having 3 cars. • The probability of having 1 or 2 cars is half of the probability of having 0 or 3 cars. Find the PMF of X.
Transcribed Image Text:Let X be the number of the cars being repaired at a repair shop. We have the following information: • At any time, there are at most 3 cars being repaired. • The probability of having 2 cars at the shop is the same as the probability of having one car. • The probability of having no car at the shop is the same as the probability of having 3 cars. • The probability of having 1 or 2 cars is half of the probability of having 0 or 3 cars. Find the PMF of X.
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