# Exam P Practice Problem 101 – auto collision claims

**Problem 101-A**

The amount paid on an auto collision claim by an insurance company follows a distribution with the following density function.

The insurance company paid 64 claims in a certain month. Determine the approximate probability that the average amount paid is between 7.36 and 8.84.

**Problem 101-B**

The amount paid on an auto collision claim by an insurance company follows a distribution with the following density function.

The insurance company paid 36 claims in a certain month. Determine the approximate 25th percentile for the average claims paid in that month.

Answers can be found in this page.

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