Help 7:26 PM Thu Oct 12023.9556029.3116035.2966049.7214053.0702059.3191RemixBob is playinga game by rollingfair die. If he rolls a '2. Bob win$200. If it is not a '2', he pays$20.Let X = the amount of the profit.What is the standard deviation ofX? (Choose the closest one).MoonChildNat Today at55%a

Answered: Bob is playing a game by rolling a fair…

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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7:26 PM Thu Oct 12
023.9556
029.3116
035.2966
049.7214
053.0702
059.3191
Remix
Bob is playing
a game by rolling
fair die. If he rolls a '2. Bob win
$200. If it is not a '2', he pays
$20.
Let X = the amount of the profit.
What is the standard deviation of
X? (Choose the closest one).
MoonChildNat Today at
55%
a

Expert Solution

Step 1: Introduction

The formula used to calculate the standard deviation is,

$s d left parenthesis x right parenthesis equals square root of v a r left parenthesis x right parenthesis end root W h e r e space v a r left parenthesis x right parenthesis equals E left parenthesis X squared right parenthesis minus left parenthesis E left parenthesis X right parenthesis right parenthesis squared E left parenthesis X squared right parenthesis equals sum from i equals 1 to n of X subscript i superscript 2 space asterisk times P left parenthesis X subscript i right parenthesis E left parenthesis X right parenthesis equals sum from i equals 1 to n of X subscript i superscript blank space asterisk times P left parenthesis X subscript i right parenthesis$