**Find the mean of the given probability distribution.**The table shows the probability distribution of a random variable $x$:\[\begin{array}{|c|c|}\hlinex & P(x) \\\hline0 & 0.11 \\1 & 0.26 \\2 & 0.35 \\3 & 0.21 \\4 & 0.07 \\\hline\end{array}\]**Options for the mean:**- 1.87- 1.78- 1.57- 1.68To find the mean ($\mu$) of a probability distribution, use the formula:\[\mu = \sum [x \cdot P(x)]\]Calculate the mean by multiplying each value of $x$ by its corresponding probability $P(x)$, and then summing these products.

x p(x) x*p(x) 0 0.11 0 1 0.26 0.26 2 0.35 0.70 3 0.21 0.63 4 0.07 0.28 Σx*p(x) =…

Answered: Find the mean of the given probability…

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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x	p(x)	x*p(x)
0	0.11	0
1	0.26	0.26
2	0.35	0.70
3	0.21	0.63
4	0.07	0.28
		$Σx * p (x) = 1.87$

Find the mean of the given probability distribution. x P(x) 0 0.11 1 0.26 2 0.35 3 0.21 4 0.07 1.87 1.78 1.57 1.68