Question 1
The following table shows part of the probability distribution for the number of boats sold daily at Boats Unlimited. It is known that the average number of boats sold daily is 1.57.
x | f(x) |
0 | 0.20 |
1 | 0.30 |
2 | 0.32 |
3 | ? |
4 | 0.05 |
5 | 0.02 |
Compute the variance and the standard deviation for this probability distribution.
Question 2
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? |
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