**Title: Understanding Probabilities and Statistics from a School Census**A census was conducted at a school where students were asked about the number of cars their family owns. The results are presented in a table below:| Number of Cars | Probability ||----------------|-------------|| 0 | 0.005 || 1 | 0.120 || 2 | 0.125 || 3 | 0.500 || 4 | 0.250 |**Questions and Answers:**1. **Probability of a Family Owning 4 Cars:** - What is the probability that a randomly chosen student has a family with 4 cars? - Answer: 0.250 ✓2. **Probability of a Family Owning Less Than 2 Cars:** - What is the probability that a randomly chosen student has a family with fewer than 2 cars? - Answer: 0.125 ✓3. **Probability of a Family Owning at Least 3 Cars:** - What is the probability that a randomly chosen student has a family with at least 3 cars? - Answer: 0.750 ✓4. **Expected Number of Cars:** - What is the expected number of cars a student's family owns? - Answer: 1/4 ✗5. **Standard Deviation:** - What is the standard deviation? - Answer: 6 ✗This exercise illustrates how probabilities can be used to make predictions about a population. Understanding the expected number of cars and the standard deviation provides insight into the typical family car ownership and the variability within the group.

Given PMF of X. x = [0,1,2,3,4]p(x) = [.005,.120,.125,.500,.250]Now will using this pmf to find…

Answered: 4. What is the expected number of cars?…

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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4. What is the expected number of cars? 1/4 5. What is the standard deviation? 6