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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
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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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