Let $ X $ be a random variable with the following probability distribution.| Value $ x $ of $ X $ | $ P(X = x) $ ||--------------------------|----------------|| -10 | 0.15 || 0 | 0.15 || 10 | 0.10 || 20 | 0.35 || 30 | 0.25 |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. Valuex of X P(X=x) -10 0 10 20 30 0.15 0.15 0.10 0.35 0.25 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E(X) = 0 (b) Find the variance Var(X) of X. Var(x) = 0 X