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RMI 2101 Risk Management and Insurance Analysis - Document preview page 1

RMI 2101 Risk Management and Insurance Analysis - Page 1

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RMI 2101 Risk Management and Insurance Analysis

An assignment in risk management and insurance, focusing on analysis and decision-making processes.

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RMI 2101 Risk Management and Insurance Analysis - Page 1 preview imageRMI 2101Risk Management and Insurance AnalysisRMI 2101Sections 003 and 005SPRING2013HOMEWORKASSIGNMENT530PointsDUE ONFRIDAY,MARCH8,2013ATTHEBEGINNINGOFCLASSBe careful to follow theGuidelines for HomeworkDocumentlocated in theCourse Documents Section of Blackboard.You will lose points for not followingproper format.Although this assignment does not have to be typed,you should submit it on 8½x 11paper. No torn-out pages from a spiral notebook will be accepted. Be sureyou follow other guidelines contained in theGuidelines for HomeworkDocument.1.The Civil Air Patrol (CAP) owns airplanes used for search and rescuemissions. In the course of their activities, CAP sustains losses in the formof property damages to their airplanes. Assume that the CAP covers twomajor regions in PAtheNortheast (NE)and theSouthwest (SW).Assume that the following information is based on thepast 10 years ofdata and you are projecting for the year 2014.The CAP has the following data for the number of accidents per airplanein theNE Region.# of accidents per airplaneper yearProbability of having this # ofaccidents0.601.252.103?a.What is therandom variableillustrated here? (2 points)
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RMI 2101 Risk Management and Insurance Analysis - Page 3 preview imageThe random variable illustrated here is thenumber of accidentsper airplane per yearin the NE Region. It represents the number ofaccidents that an airplane might experience over a given year.b.What is the probability of an airplane having 3 accidents in a year?(2 points)To find the probability of an airplane having 3 accidents, we need toensure that the total probability of all possible outcomes sums to 1.We are given the probabilities for 0, 1, and 2 accidents, but theprobability for 3 accidents is missing.Given the probabilities for 0, 1, and 2 accidents:Probability of 0 accidents: 0.60Probability of 1 accident: 0.25Probability of 2 accidents: 0.10Therefore, the probability of an airplane having 3 accidents in a year is0.05.c.Calculatetheexpected number of accidentsper airplaneper yearforthe NE Region. What are theunits of measurement? (3points)
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