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

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

A First Course in Probability (10th Edition)
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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**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.
Transcribed Image Text:**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.
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