Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 29% of all homeowners are insured against earthquake damage. Four homecwners 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 Fone who does not. Then one possible outcome is SFSS, with probability (0.29)(0.71)(0.29)(0.29) and associated X value 3. There are 15 other outcomes.] (Round your answers bto four decimal places.) 3 p(x) (b) Draw the corresponding probability histogram. Probability Probability 04 04 0.3 0.3 0.2 0.2 0.1 Number with 0.1 Number with 0.0 earthquake 0.0 earthquake 1 2 3 4 0 1 2 3 4 insurance insurance C. Probability Probability 0.4 0.4 WebAssign Plot 0.3 0.3 0.2 0.2 0.1 Number with 0.1 Number with earthquake 0 earthquake 0.0 0.0 0 1 2 3 0 1 2 3 4 4 insurance insurance (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? (Round your answer to four decimal places.)

Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 29% of all homeowners are insured against earthquake damage. Four homecwners 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 Fone who does not. Then one possible outcome is SFSS, with probability (0.29)(0.71)(0.29)(0.29) and associated X value 3. There are 15 other outcomes.] (Round your answers bto four decimal places.) 3 p(x) (b) Draw the corresponding probability histogram. Probability Probability 04 04 0.3 0.3 0.2 0.2 0.1 Number with 0.1 Number with 0.0 earthquake 0.0 earthquake 1 2 3 4 0 1 2 3 4 insurance insurance C. Probability Probability 0.4 0.4 WebAssign Plot 0.3 0.3 0.2 0.2 0.1 Number with 0.1 Number with earthquake 0 earthquake 0.0 0.0 0 1 2 3 0 1 2 3 4 4 insurance insurance (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? (Round your answer to four decimal places.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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