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Continuous Distributions probability problems – SOA Exam P CAS Exam 1

Continuous Probability Density Function example question

The number of days that elapse between the beginning of a calendar year and the moment a high-risk driver is involved in an accident is considered to be a random variable with pdf   . An insurance company expects that 30% of high-risk drivers will be involved in an accident during the first 50 days of a calendar year. What portion of high-risk drivers are expected to be involved in an accident during the first 80 days of a calendar year?

 

Solution to this Society of Actuaries Exam P practice problem is given in the video below!






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