Suppose that 20% of all homeowners in an earthquake-prone area of California are insured against earthquake damage. Four homeowners are selected at random; let x denote the number among the four who have earthquake insurance. Round your answers to 4 decimal digits. 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 (.2)(.8)(.2)(.2) and associated x value of 3. There are 15 other outcomes.) b. What is the most likely value of x? c. What is the probability that at least two of the four selected homeowners have earthquake insurance?
Suppose that 20% of all homeowners in an earthquake-prone area of California are insured against earthquake damage. Four homeowners are selected at random; let x denote the number among the four who have earthquake insurance. Round your answers to 4 decimal digits. 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 (.2)(.8)(.2)(.2) and associated x value of 3. There are 15 other outcomes.) b. What is the most likely value of x? c. What is the probability that at least two of the four selected homeowners have earthquake insurance?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Question
Suppose that 20% of all homeowners in an earthquake-prone area of
California are insured against earthquake damage. Four homeowners are
selected at random; let x denote the number among the four who have
earthquake insurance. Round your answers to 4 decimal digits.
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 (.2)(.8)(.2)(.2) and associated x value of 3. There
are 15 other outcomes.)
b. What is the most likely value of x?
c. What is the probability that at least two of the four selected homeowners
have earthquake insurance?
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