The management of a grocery store has kept a record of bad checks received per day for a period of 200 days. The data are shown below.
?
Number of Bad
Checks Received
Number of Days
0
8
1
12
2
20
3
60
4
40
5
30
6
20
7
10
?
a.Develop a probability distribution for the above data.b.Is the probability distribution that you found in Part "a" a proper probability distribution? Explain.c.Determine the cumulative probability distribution f(x).d.What is the probability that in a given day the store receives four or less bad checks?e.What is the probability that in a given day the store receives more than 3 bad checks?
What will be an ideal response?
?
| a. | c. | |
| Number Bad Checks | Probability | f(x) |
| 0 | .04 | .04 |
| 1 | .06 | .10 |
| 2 | .10 | .20 |
| 3 | .30 | .50 |
| 4 | .20 | .70 |
| 5 | .15 | .85 |
| 6 | .10 | .95 |
| 7 | .05 | 1.00 |
| b. | Yes, the sum of the probabilities is equal to 1. |
| d. | 0.7 |
| e. | 0.5 |
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