Question
A handyman specializes in fixing electrical, plumbing, and heating problems. Assume that 40% of the service calls that he gets relate to electrical problems, while
A handyman specializes in fixing electrical, plumbing, and heating problems. Assume that 40% of the service calls that he gets relate to electrical problems, while 35% of the service calls relate to plumbing problems, and 25% of the service calls relate to heating problems as shown in the relative frequency table below. On average, the time it takes to fix an electrical problem is uniformly distributed between 15 and 45 minutes. The time to fix a plumbing problem is uniformly distributed between 20 and 60 minutes, and the time to fix a heating problem uniformly ranges from 35 and 75 minutes. The handyman charges an average of $130.00 per hour for his service. He attends to the calls in the order they are received and does not address the work of a new call unless work on an earlier call is completely finished. He does not turn down any calls.
Service Call Probability
Electrical 0.40
Plumbing 0.45
Heating 0.25
Use sequentially the random numbers on the table next page from top to bottom starting with column 1 to simulate the first five service calls the handyman received in a day and determining how long each service call lasts, and the charge for each call to answer the following questions:
a) Of the five calls, how many were electrical, plumbing, and heating calls?
b) How much time in total did he spend on the five calls?
c) What is the total charge for all the calls?
d) What is the average charge per call?
e) Which of the five service calls took the longest time and how much was the charge?
f) Which of the five service calls took the shortest time and how much was the charge
Random numbers table:
1 | 0.762278 |
2 | 0.201028 |
3 | 0.627206 |
4 | 0.511334 |
5 | 0.199039 |
6 | 0.421358 |
7 | 0.619675 |
8 | 0.585948 |
9 | 0.445007 |
10 | 0.120707 |
11 | 0.42585 |
12 | 0.303271 |
13 | 0.113096 |
14 | 0.888148 |
15 | 0.741038 |
16 | 0.370459 |
17 | 0.449193 |
18 | 0.766982 |
19 | 0.244957 |
20 | 0.763902 |
21 | 0.520298 |
22 | 0.005737 |
23 | 0.281339 |
24 | 0.695437 |
25 | 0.85096 |
26 | 0.17779 |
27 | 0.83064 |
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