Question

218 points I Premous Answers My Notes Ask Your Teacher some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 28% of all homeowners are insured against earthquake damage. Four homeowners are to be selected at random. Let χ denote the number among the four who have earthquake insurance. a Find the probability distribution o Х. Hint: Let S denote a home wne that has insurance and Fone who does not. Then one possible outcome is SF S with probability 0.28 0.72 0.28 0.28 and associated X value 3 There are 15 ather outcomes.] (Round your answers to four decimal places.) (b) Draw the corresponding probability histogram. Probablity Probability 0.4 0.3 0.2 0.1 04 0.3 0.2 0.1 Number with Number with Probability Probablity 0.4 0.3 0.2 0.1 03 Number with Number with earthquake earthquake (c) What is the most likely value for Xn (d) What is the probability that at least two of the four selected have earthquake insurance? (Round your answer to four decimal places.) 0.2617 Need Help?Reat Talk to a Tutor Submit Answer Save Progress Practice Another Version

Answer 1

a) The probability distribution of X is

x	0	1	2	3	4
P(x) =	0.268739	0.418038	0.243855	0.063222	0.006147

b) Correct answer: Option (D)

since

c) Answer: 1

d) P(X>=2) =

0.24385536+0.06322176+0.00614656= 0.31322368