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A First Course in Probability (10th Edition)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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**Problem:**

A random variable \( X \) has the probability density function (pdf):

\[ f(x) = -\frac{3}{40}x + \frac{1}{5}, \quad 3 \leq x \leq 5. \]

Find the expected value of \( X \). Express your answer as a fraction.

**Options:**

- a) \( \frac{81}{20} \)

- b) \( \frac{31}{12} \)

- c) \( \frac{33}{8} \)

- d) something else

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