The random variable X is described by the following probabilities.i14P(X = i) = Pi 0.5 0.4 0.05 0.05What is the expected value of X?

Name: The random variable X is described by the following probabilities.i14
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Description: The random variable X is described by the following probabilities.i14P(X = i) = Pi 0.5 0.4 0.05 0.05What is the expected value of X?

The Expected Value is given as: Expected Value = ∑Xpi=0×0.5+1×0.4+3×0.05+4×0.05=0.75

Answered: The random variable X is described by…

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 random variable X is described by the following probabilities.
i
1
4
P(X = i) = Pi 0.5 0.4 0.05 0.05
What is the expected value of X?

Expert Solution

Step 1

The Expected Value is given as:

Expected Value = $\begin{array}{rcl} \sum_{}^{} X (p_{i}) & = & 0 \times 0.5 + 1 \times 0.4 + 3 \times 0.05 + 4 \times 0.05 \\ = & 0.75 \end{array}$

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