In: Accounting
Mary has her own business, a nail salon that she runs out of her home.She is the only nail technician but serves many clients in one day. The following tables provide information about time between arrivals and service time required for a manicure. Assume the only service offered is a manicure.
Time Between Arrivals |
Probability |
Random Numbers |
10 min |
.2 |
00-19 |
20 min |
.3 |
20-69 |
30 min |
.2 |
70-89 |
40 min |
.3 |
90-99 |
Service Time |
Probability |
Random Numbers |
10 min |
.3 |
00-29 |
20 min |
.4 |
30-69 |
30 min |
.2 |
70-89 |
40 min |
.1 |
90-99 |
Random Numbers |
Customer |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Arrivals |
12 |
19 |
43 |
23 |
6 |
87 |
92 |
45 |
56 |
Services |
12 |
45 |
65 |
78 |
22 |
43 |
58 |
98 |
1 |
The first random number generted for arrivals is used to tell us then the first customer arrives after the shop opens. the second random number generated for service is used to tell us how long the service took.
Answer the following questions using the charts above:
1) What time does the first customer arrive if the shop opens at 8 am?
2) What number customer will be the first to wait?
3) How long does the second customers appointment take?
A)
B)
c)
Random number and probability
Given data
Time Between Arrivals |
Probability |
Random Numbers |
10 minutes |
.2 |
00-19 |
20 minutes |
.3 |
20-49 |
30 minutes |
.2 |
50-69 |
40 minutes |
.3 |
70-99 |
Service Time |
Probability |
Random Numbers |
10 minutes |
.3 |
00-29 |
20 minutes |
.4 |
30-69 |
30 minutes |
.2 |
70-89 |
40 minutes |
.1 |
90-99 |
Answer:
Step 1: Consider the random number in arrival row and match the values with the table “Time between Arrivals” and write down the minutes.
Step 2: consider the random number in service row and match the values with the table “Service Time”.
Random Numbers |
|||||||||
Customer |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Arrivals |
12 |
19 |
43 |
23 |
6 |
87 |
92 |
45 |
56 |
Time between arrivals in minutes (step 1) |
10 |
10 |
20 |
20 |
10 |
40 |
40 |
20 |
30 |
Service |
12 |
45 |
65 |
78 |
22 |
43 |
58 |
98 |
1 |
Service in minutes (Step 2) |
10 |
20 |
20 |
30 |
10 |
20 |
20 |
40 |
10 |
How long does the second customer’s appointment take?
20 minutes.