Let \( X \) be a random variable with the following probability distribution:\[\begin{array}{|c|c|}\hline\text{Value } x \text{ of } X & P(X = x) \\\hline0 & 0.40 \\1 & 0.05 \\2 & 0.15 \\3 & 0.25 \\4 & 0.15 \\\hline\end{array}\]Complete the following. (If necessary, consult a list of formulas.)(a) Find the expectation \( E(X) \) of \( X \).\[E(X) = \, [\, ]\](b) Find the variance \( \text{Var}(X) \) of \( X \).\[\text{Var}(X) = \, [\, ]\]

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Answered: Let X be a random variable with the…

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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Let X be a random variable with the following probability distribution Value x of X P(X=x) 0. 0.40 0.05 2. 0.15 0.25 4. 0.15 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (x) = || (b) Find the variance Var(X) of X. Var (X) = ]