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?