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.
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
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![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 \( X \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fabd5e741-0235-409f-80de-883f5f0e5da7%2F13042519-f9b1-48c4-a1e8-3ed369a1460a%2Fffwfe7r_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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
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Step 1: Determining the given information
The discrete random variable X is given as:
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