Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 26% of all homeowners are insured against earthquake damage. Four homeowners are 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 that has insurance and F one who does not. Then one possible outcome is SFSS, with probability (0.26) (0.74)(0.26) (0.26) and associated X value 3. There are 15 other outcomes.] (Round your answers to four decimalplaces.)Xp(x)O(b) Draw the corresponding probability histogram.Probability0.40.30.20.10.00Probability0.40.30.20.10.001012233441Number with(c) What is the most likely value for X?earthquakeinsuranceNumber withearthquakeinsuranceProbability0.40.316-0.2120.120.00.40.30.20.10.00Probability01233344Number withearthquakeinsuranceNumber withearthquakeinsurance4(d) What is the probability that at least two of the four selected have earthquake insurance? (Round your answer to four decimal places.)

The question is about discrete probability distributionGiven :Proportion of homeowners are insured…

Answered: Some parts of California are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Given the following probability distribution for the number of semesters of Math a (non-Math major) college student will take as they earn their degree: x:number of semesters of Math 1 2 3 4 P(x) 0.25 0.45 0.20 0.10 What is the probability that a randomly selected (non-Math major) college student will have taken exactly 3 semesters of Math? Show how you calculated your result here (type in what you typed on your calculator or computer, etc) Calculation: __________ Now type in your final simplified or rounded answer, if necessary round your answer to four decimal places. P(exactly 3 semesters of Math) = _____________
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