Let \( X \) be a random variable with the following probability distribution.\[\begin{array}{|c|c|}\hline\text{Value } x \text{ of } X & P(X = x) \\\hline2 & 0.15 \\3 & 0.70 \\4 & 0.05 \\5 & 0.10 \\\hline\end{array}\]Complete the following. (If necessary, consult a list of formulas.)(a) Find the expectation \( E(X) \) of \( X \).\[ E(X) = \Box \](b) Find the variance \( \text{Var}(X) \) of \( X \).\[ \text{Var}(X) = \Box \]

E(X)=∑X.P(X)E(X2)=∑X2.P(X)V(X)=E(X2)-(E(X))2

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 2 3 لیا 4 5 PX=x 0.15 0.70 0.05 0.10 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