The following information pertains to telephone calls to a motel switchboard on a typical Tuesday. Use Table 1.
| Period |
Incoming Rate (calls per minute) |
Service Rate (calls per minute per operator) |
Number of Operators |
| Morning |
2.1 |
1.5 |
2 |
| Afternoon |
2.6 |
1.0 |
3 |
| Evening |
1.8 |
.5 |
4 |
|
a. Determine the average time callers wait to have their calls answered for each period and the probability that a caller will have to wait for each period. (Round intermediate calculations and final answers to 3 decimal places.)
b. Determine the maximum line length for a probability of 94 percent. (Round your intermediate calculations to 3 decimal places and round up your final answers to the next whole number.)