### Compute the Mean and Standard Deviation of a Discrete Probability Distribution#### ProblemCompute the mean and standard deviation of the random variable with the given discrete probability distribution.| x | P(x) ||-----|------|| -3 | 0.23 || -2 | 0.15 || 7 | 0.25 || 9 | 0.27 || 10 | 0.1 |*[Send data to Excel]*#### SolutionPart 1 of 2(a) Find the mean. Round the answer to three decimal places, if necessary.The mean is [________].*[Check Answer]* [⮾ ⮿]Part 2 of 2(b) Find the standard deviation. Round the answer to three decimal places, if necessary.The standard deviation is [________].*[Check Answer]* [⮾ ⮿]---**Explanation and Instructions**- Begin by calculating the mean (expected value) for the given probability distribution. The mean is found using the formula: \[ \mu = \sum [x \cdot P(x)] \] Where \( x \) represents each value of the random variable, and \( P(x) \) is the corresponding probability.- Next, determine the standard deviation, which measures the spread of the random variable around the mean. Use the formula: \[ \sigma = \sqrt{\sum [(x - \mu)^2 \cdot P(x)]} \] Here, \( \mu \) is the mean you calculated previously.- Fill in your answers in the provided boxes and round to three decimal places as required. Use the tools provided to send the data to Excel if necessary, to perform additional calculations or verifications.

Let X be the random variable having probability mass function is, X P(X) -3 0.23 -2 0.15…

Answered: Compute the mean and standard deviation…

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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