please show work 1. (14 points) A small airplane has 6 passenger seats. Let X be the number ofoccupied seats for a particular flight. The pmf p(x) of X is given in the table.2345 6p(x) 0.08 0.12 0.15 0.15 0.20 0.20 0.10Find the expected value E(X), the variance V(X), and the standard devia-tion ox of X.

0 0.08 0 0 0 1 0.12 0.12 1 0.12 2 0.15 0.3 4 0.6 3 0.15 0.45 9 1.35 4 0.20 0.8 16 3.2 5…

Answered: 1. (14 points) A small airplane has 6…

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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please show work

1. (14 points) A small airplane has 6 passenger seats. Let X be the number of
occupied seats for a particular flight. The pmf p(x) of X is given in the table.
2
3
4
5 6
p(x) 0.08 0.12 0.15 0.15 0.20 0.20 0.10
Find the expected value E(X), the variance V(X), and the standard devia-
tion ox of X.

Expert Solution

Step 1

$\mathbf{Solution}$

$\mathbf{x}$	$\mathbf{p(x)}$	$\mathbf{x*p(x)}$	$\mathbf{x^{2}}$	$\mathbf{x^{2}*p(x)}$
0	0.08	0	0	0
1	0.12	0.12	1	0.12
2	0.15	0.3	4	0.6
3	0.15	0.45	9	1.35
4	0.20	0.8	16	3.2
5	0.20	1	25	5
6	0.10	0.6	36	3.6
		$\mathbf{\sum x*P(x)=3.27}$		$\mathbf{\sum x^{2}*P(x)=13.87}$

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