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he table shows the probability distribution of the number of days (x) to complete a construction project by a contractor.   x f(x) 1 0.104 2   3 0.312 4 0.240 5 0.098 6 0.017   9 The standard deviation of the days to complete the project is ________.

he table shows the probability distribution of the number of days (x) to complete a construction project by a contractor.   x f(x) 1 0.104 2   3 0.312 4 0.240 5 0.098 6 0.017   9 The standard deviation of the days to complete the project is ________.

MATLAB: An Introduction with Applications
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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The table shows the probability distribution of the number of days (x) to complete a construction project by a contractor.

 

x f(x)
1 0.104
2  
3 0.312
4 0.240
5 0.098
6 0.017

 

9 The standard deviation of the days to complete the project is ________.
a 1.195          
b 1.106          
c 1.024          
d 0.948          
Expert Solution
Step 1- Writing given data

Given that 

Probability distribution data

X 1 2 3 4 5 6
P(x) 0.104 - 0.312 0.240 0.098 0.017

 

We know that 

Total probability = 1

∑P(x) =1

P(x=1) + P(x=2) + P(x=3) + P(x=4) + P(x=5) + P(x=6)  = 1

0.104  + P(x=2) + 0.312 + 0.240 + 0.098 +0.017 = 1

P(x=2) + 0.771 = 1

P(x=2) = 1-0.771 = 0.229

P(x=2) = 0.229

 

 

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