Exam P Practice Problem 42 – Losses due to Collisions

Problem 42-A

Amount of damage to cars (in thousands) due to collision accidents is distributed according to the following density function:

      \displaystyle f(x)=\frac{1}{8} \ (4-x) \ \ \ \ \ \ 0<x<4

Five independent collision accidents are randomly selected. What is the probability that the maximum amount of damage from these five accidents is greater than 2?

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Problem 42-B

A certain type of random losses is distributed according to the following density function:

      \displaystyle f(x)=\frac{1}{18} \ x \ \ \ \ \ \ 0<x<6

Three independent loss amounts are randomly selected. What is the probility that the minimum amount of these losses is no greater than 3?

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Answers

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