11. Please answer the following question. The probability distribution of the discrete random variable $ X $ is given below.\[ f(x) = \binom{3}{x} \left( \frac{5}{8} \right)^x \left( \frac{3}{8} \right)^{3-x}, \quad x = 0, 1, 2, 3.\]Find the mean of $ X $.

Answered: The probability distribution of the…

The probability distribution of the discrete random variable X is given below. 3 5 3 -(u)()(%). 8 8 f(x) = Find the mean of X. 3-x , x = 0, 1, 2, 3.

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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11. Please answer the following question.

The probability distribution of the discrete random variable $ X $ is given below.

\[
f(x) = \binom{3}{x} \left( \frac{5}{8} \right)^x \left( \frac{3}{8} \right)^{3-x}, \quad x = 0, 1, 2, 3.
\]

Find the mean of $ X $.

Expert Solution

Step 1: Determining the given information

The discrete random variable X is given as:

$f open parentheses x close parentheses equals open parentheses table row 3 row x end table close parentheses open parentheses 5 over 8 close parentheses to the power of x open parentheses 3 over 8 close parentheses to the power of 3 minus x end exponent comma x equals 0 comma 1 comma 2 comma 3$

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