Question: According to auto insurance statistics, the average useful life for a car in the United States is 10 years. Assume the distribution of useful life

According to auto insurance statistics, the average useful life for a car in the United States is 10 years. Assume the distribution of useful life is uniform, with the following probability density function

for x between 5 years and 15 years everywhere else 1/10 l0

where x = values for the random variable “useful car life in years”

a. What percentage of cars has a useful life of between 8.5 years and 9.5 years?

b. What percentage of cars has a useful life greater than 9 years?

c. 40% of cars have a useful life between 7 years and ____ years.

d. What is the standard deviation of the useful life distribution?

for x between 5 years and 15 years everywhere else 1/10 l0

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