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.

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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Problem-8
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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