# SOLUTION: An auditor of Health Maintenance Services of Georgia reports 40 percent of policyholders 55 years or older submit a claim during the year. Fifteen policyholders are randomly select

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 Click here to see ALL problems on Probability-and-statistics Question 629014: An auditor of Health Maintenance Services of Georgia reports 40 percent of policyholders 55 years or older submit a claim during the year. Fifteen policyholders are randomly selected for company records. A. How many of the policy holders would you expect to have filed a claim within the last year? B. What is the probability that 10 of the selected policyholders submitted a claim last year? C. What is the probability that 10 or more of the selected policyholders submitted a claim last year? D. What is the probability that more than 10 of the selected policyholders submitted a claim last year? Answer by stanbon(57347)   (Show Source): You can put this solution on YOUR website!An auditor of Health Maintenance Services of Georgia reports 40 percent of policyholders 55 years or older submit a claim during the year. Fifteen policyholders are randomly selected for company records. A. How many of the policy holders would you expect to have filed a claim within the last year? ---- expected value = np = 15*0.4 = 6 ----------------------------------------------- B. What is the probability that 10 of the selected policyholders submitted a claim last year? P(x = 10) = 15C10*0.4^10*0.6^5 = binompdf(15,0.4,10) = 0.0245 ----------------------------------------------------------- C. What is the probability that 10 or more of the selected policyholders submitted a claim last year? P(10<= x <= 15) = 1 - binomcdf(15,0.4,9) = 0.0338 ----------------------------------------------------------- D. What is the probability that more than 10 of the selected policyholders submitted a claim last year? P(11<= x <=15) = 1 - binomcdf(15,0.4,10) = 0.0093 ============================== Cheers, Stan H. ==============================