Question

State Farm Insurance studies show that in Colorado, 50% of the auto insurance claims submitted for property damage were submitted by males under 25 years of age. Suppose 8 property damage claims involving automobiles are selected at random. (a) Let r be the number of claims made by males under age 25. Make a histogram for the r-distribution probabilities. Maple Generated Plot Maple Generated Plot Maple Generated Plot Maple Generated Plot Incorrect: Your answer is incorrect. (b) What is the probability that five or more claims are made by males under age 25? (Use 3 decimal places.) (c) What is the expected number of claims made by males under age 25? What is the standard deviation of the r-probability distribution? (Use 2 decimal places.) μ σ

Answer 1

a)

b)

probability that five or more claims are made by males under age 25 =P(X>=5)=0.363

c)

expected number of claims made by males under age 25 =np=8*0.5=4

d)

standard deviation of the r-probability distribution =sqrt(np(1-p))=1.41