# Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area. 25% of all homeowners are insured against earthquake damage. Four homeowners arc to be selected at random: let X denote the number among the four who have earthquake insurance. a. Find the probability distribution of X . [ Hint: Let S denote a homeowner who has insurance and F one who does not. Then one possible outcome is SFSS, with probability (.25)(.75)(.25)(.25) and associated X value 3. There are 15 other outcomes.] b. Draw the corresponding probability histogram. c. What is the most likely value for X ? d. What is the probability that at least two of the four selected have earthquake insurance?

### Probability and Statistics for Eng...

9th Edition
Jay L. Devore
Publisher: Cengage Learning
ISBN: 9781305251809

### Probability and Statistics for Eng...

9th Edition
Jay L. Devore
Publisher: Cengage Learning
ISBN: 9781305251809

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Chapter 3.2, Problem 16E
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