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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
| 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=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) = 10.771 = 0.229
P(x=2) = 0.229
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