grocery store has 6 self-checkout stations. The probability distribution of the number of utilized stations, XX, is as follows: xixi 1 2 3 4 5 6 Total P(X=xi)P(X=xi) 0.12 0.15 0.42 0.2 0.11 0 1 To find the expected value the following table was set up:
grocery store has 6 self-checkout stations. The probability distribution of the number of utilized stations, XX, is as follows: xixi 1 2 3 4 5 6 Total P(X=xi)P(X=xi) 0.12 0.15 0.42 0.2 0.11 0 1 To find the expected value the following table was set up:
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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A grocery store has 6 self-checkout stations. The probability distribution of the number of utilized stations, XX, is as follows:
| xixi | 1 | 2 | 3 | 4 | 5 | 6 | Total |
| P(X=xi)P(X=xi) | 0.12 | 0.15 | 0.42 | 0.2 | 0.11 | 0 | 1 |
To find the
| xixi | P(X=xi)P(X=xi) | xi⋅P(X=xi)xi⋅P(X=xi) |
| 1 | 0.12 | 1⋅0.12=0.121⋅0.12=0.12 |
| 2 | 2⋅0.15=0.32⋅0.15=0.3 | |
| 3 | 0.42 | 3⋅3⋅ =1.26=1.26 |
| 4 | 0.2 | 4⋅0.2=4⋅0.2= |
| 5 | 5⋅0.11=0.555⋅0.11=0.55 | |
| 6 | 0 | |
| Total: |
Fill out the blanks in the table above and compute the E[X]:
E[X]=E[X]= (Round the answer to 2 decimals)
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