### Probability Distribution of a Random VariableLet \( X \) be a random variable with the following probability distribution:| Value \( x \) of \( X \) | \( P(X = x) \) ||--------------------------|---------------|| 0 | 0.15 || 10 | 0.10 || 20 | 0.15 || 30 | 0.20 || 40 | 0.15 || 50 | 0.25 |**Tasks:**1. **Find the expectation \( E(X) \) of \( X \).** \[ E(X) = \, \_\_ \]2. **Find the variance \( \text{Var}(X) \) of \( X \).** \[ \text{Var}(X) = \, \_\_ \]*Note: If necessary, consult a list of formulas.*

To find: 1. Expected value: E(X) 2. Variance of X : VAR(X)

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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Directions: Compute the expected value, variance, and standard deviation for random variable X whose probability table is given below: Possible Outcome -1 0 1/7 1/7 Probability Probability Table for X 1. The Expected Value of X is E(X) 2. The Variance of X is Var(X) 3. The Standard Deviation of X is Std(X) 1 2 5/14 5/14

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Let X be a random variable with the following probability distribution. Valuex of X 0 10 20 30 40 50 PX=x 0.15 0.10 0.15 0.20 0.15 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