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4.2 The probability distribution of the discrete random variable Å is f(x) = ()ere¹. 3 Find the mean of X. 3-x x = 0, 1, 2, 3.

4.2 The probability distribution of the discrete random variable Å is f(x) = ()ere¹. 3 Find the mean of X. 3-x x = 0, 1, 2, 3.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The probability distribution of the discrete random variable \( X \) is given by: \[ f(x) = \binom{3}{x} \left(\frac{1}{4}\right)^x \left(\frac{3}{4}\right)^{3-x}, \quad x = 0, 1, 2, 3. \] Find the mean of \( X \).
Transcribed Image Text:The probability distribution of the discrete random variable \( X \) is given by: \[ f(x) = \binom{3}{x} \left(\frac{1}{4}\right)^x \left(\frac{3}{4}\right)^{3-x}, \quad x = 0, 1, 2, 3. \] Find the mean of \( X \).
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Solution:

The probability distribution of the discrete random variable X is 

f(x)=3x14x343-x     x=0,1,2,3

 

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