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...
Related questions
Concept explainers
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
I need the answer as soon as possible
Transcribed Image Text: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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON