Engineering Math ProjectDone by:Yousef Mohammad, Rashed Mansoor.Directed to Mr. Ahnaf.

The Probability Density Function: is a function that describes the relative likelihood for this random variable to take on a given value. The probability for the random variable to fall within a particular region is given by the integral of this variable’s density over the region.

General Equation:

I. The Probability Density Function Task 1

Task 1Its graph:

Task 1I. The Probability Density Function Example: Car Rentals

A survey finds the following probability distribution for the age of a rented car.

Task 1II. Application

Task II Task 1

Task 2

Task 3

Task 3

Find the area of the following regions 𝑅1 𝑅2 𝑎𝑛𝑑𝑅3

Task 4

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