From a survey of construction labor, the work duration (in number of hours) per day and...
From a survey of construction labor, the work duration (in number of hours) per day and the average productivity (percent efficiency) were recorded as follows:
|
Duration and Productivity (x, y) |
No. of Observations |
|
6, 45 |
4 |
|
6, 65 |
3 |
|
6, 85 |
10 |
|
8, 45 |
5 |
|
8, 65 |
36 |
|
8, 85 |
24 |
|
10, 45 |
7 |
|
10, 65 |
23 |
|
10, 85 |
13 |
|
12, 45 |
8 |
|
12, 65 |
5 |
|
12, 85 |
2 |
|
Total |
140 |
SHOW ALL WORK
A. Determine the marginal probability distribution function (PDF) for X, the distribution of work duration and plot graphically on px (x) versus x for y = 6, 8, 10 and 12. Present px (x) in terms of relative frequencies of the observations.
B. Similarly, determine the marginal PDF for Y, representing the distribution of productivity.
C. If the work duration per day is 10 hr, what is the probability that the average productivity will be 85%?
Homework Answers
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