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...

See similar textbooks

Related questions

Q: The amount of nitrogen (in lb/acre), phosphate (in lb/acre), and labor (in hr/acre) needed to grow…

A: (a) Let x acres of honeydews, y acres of yellow onion and z acres of lettuce According to given…

Q: Identify each step in Poyla’s Four Step process for Problem Solving.

A: Polya created his famous four step process for problem solving.

Q: i need both problems solved not just one

A: (1).Purchased value of the car is: P=$23000After every year the value of the car is decreased by…

Q: Use the following information to answer the next two questions. At a local restaurant, the following…

A: AS PER GUIDELINES I AM ANSWERING FIRST 2 QUESTIONS. 1. Consider the given table, Beverage Pastry…

Q: For a recent NFL season, Aaron Rodgers had 9 more touchdown passes than Joe Flacco.a. Write a model…

A: A number of touchdowns passes by Rodgers is 9 more than the number thrown by Flacco. More implies…

Q: study shows that the fewer the number of wolves in a rural area (Y), the more farms there are in the…

A: From the given information we find the conclusion.

Q: An allergy pill contains 180 mg of medicine. 10% of the medicine is eliminated from the patient's…

A: Using disintegration formula.

Q: thank you so much I understand it now and it worked

A: Okay.

Q: If a bathtub comfortably holds 30 gallons of water and a shower produces 2 gallons of water per…

Q: A total of $11,000 is invested in two different accounts. The first account at 6.5% simple interest…

A: Given problem:- A total of $11,000 is invested in two different accounts. The first account at 6.5%…

Q: A psychologist would like to examine how the rate of presentation affects people’s ability to…

A: Given information: The data represents the number of errors in recall for the 4 groups ½ second, 1…

Q: I cannot see the full solution for this question, and would like to better understand the…

A: We can solve this as follows:

Q: th 20% of your total grade, each exam is worth 25%, and the final ex e course given that you have a…

Q: Could I have some help with this, I'm trying so hard to relearn all of these to help my son with his…

Q: Can you help me step by step with this problem?

A: The given is:

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

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!

SEE SOLUTION Check out a sample Q&A here

Introduction

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

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.

Similar questions

Type out the problem step-by-step in full.
I don't fully understand what you did for problem C
About 1/3 of Samuel’s paycheck goes to housing, 1/6 goes to utility bills, 1/8 goes for his car, and 1/5 goes for food. How much of his paycheck is left for entertainment?
Summarize the steps you need to follow in order to determine what type of permutation or combination formula to use for any given problem. Be sure to include explanations of each possible outcome.
Mila invested $6,700 and put it in two accounts. She put some in a money market account that earned 1 1/2 % simple interest and she put the rest in a certificate of deposit (CD) that earned 2 3/4% simpleinterest. At the end of the first year she earned a total of $149.25 in interest. How much did she depositin each account?
Akira is running around a circular track. Akira runs counterclockwise. From where he starts, it takes him 22 seconds to reach the easternmost point of the track. It takes him 95 seconds to run one complete lap.Bob starts running at the same time as Akira. Bob starts from the northernmost point and runs clockwise. Bob and Akira pass each other for the first time after 26 seconds. How long does Bob take to run one lap of the track? The answer to this question should be the amount of time in seconds rounded to four decimal places that it takes for Bob to run a complete lap around the circular track.
This was a complete waste of money. There is no explanation and therefore no ability to understand how to get to the solution.
samuel was riding in the back seat of the station wagon on the way home after a long and tiring day at the beach. He fell asleep halfway home. He didn't wake up until he still had half as far to go as he had already gone while asleep. How much of the entire trip was Samuel asleep?