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 (0.31)(0.69) (0.31)(0.31) and associated X value 3. Th outcomes.] (Round your answers to four decimal places.) 0 + X p(x) (b) Draw the corresponding probability histogram. Probability O 0.4 0.3 Probability 0.4 0.3 1.4-L₂ 0.2 Number with 0.1 earthquake 0.0 insurance O 0.2 0.1 0.0 Probability 0.4 0.3 0.2 0.1 01 2 3 4 0.0 012 3 (c) What is the most likely value for X? 2 4 3 Number with earthquake insurance. 4 Probability 0.4 0.3 0.2 0.1 0.0 O 0 1 2 3 012 3 4 Number with earthquake insurance Number with earthquake insurance.

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 (0.31)(0.69) (0.31)(0.31) and associated X value 3. Th outcomes.] (Round your answers to four decimal places.) 0 + X p(x) (b) Draw the corresponding probability histogram. Probability O 0.4 0.3 Probability 0.4 0.3 1.4-L₂ 0.2 Number with 0.1 earthquake 0.0 insurance O 0.2 0.1 0.0 Probability 0.4 0.3 0.2 0.1 01 2 3 4 0.0 012 3 (c) What is the most likely value for X? 2 4 3 Number with earthquake insurance. 4 Probability 0.4 0.3 0.2 0.1 0.0 O 0 1 2 3 012 3 4 Number with earthquake insurance Number with earthquake insurance.

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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Question

Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 31% 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 (0.31)(0.69) (0.31)(0.31) and associated X value 3. There are 15 other
outcomes.] (Round your answers to four decimal places.)
0
1
X
p(x)
Probability
0.4
(b) Draw the corresponding probability histogram.
Probability
0.3
14- Sb-
0.2
0.1
012 3 4
012
0.3
0.2
0.1
0.0
Probability
0.4
0.3
0.2
0.1
0.0
0
1
2
3
(c) What is the most likely value for X?
2
4
Number with
earthquake
insurance
Number with
3
earthquake
insurance
0.4
0.0
Probability
0.4
0.3
0.2
0.1
0.0
4
0
1
3
2 3
4
4
Number with
earthquake
insurance
Number with
earthquake
insurance
(d) What is the probability that at least two of the four selected have earthquake insurance? (Round your answer to four decimal places.)

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