Mary has her own business, a nail salon that she runs out of her home.She is...

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?

Solutions

Expert Solution

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.

ekkarill92 answered 1 year ago

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