What will be the average number of scooters waiting in the factory?

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written 8.8 years ago by

teamques10 ★ 69k

• modified 4.3 years ago

The automobile company manufactures around 150 scooters. The daily production varies from 146 to 154 depending upon the availability of raw materials and other working conditions: -

Production per day	Probability
146	0.04
147	0.09
148	0.12
149	0.14
150	0.11
151	0.10
152	0.20
153	0.12
154	0.08

The finished scooters are transported in a specially arranged lorry accommodating 150 scooters. Using the random numbers 80, 81, 76, 75, 64, 43, 18, 26, 10, 12, 65, 68, 69, 61, 57, simulate the process to find out: - i. What will be the average number of scooters waiting in the factory? - ii. What will be the average number of empty space on the lorry? -

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1 Answer

Production per day	Probability	Cumulative Probability	Random Numbers Assigned
146	0.04	0.04	00-03
147	0.09	0.13	04-12
148	0.12	0.25	13-24
149	0.14	0.39	25-38
150	0.11	0.50	39-49
151	0.10	0.60	50-59
152	0.20	0.80	60-79
153	0.12	0.92	80-91
154	0.08	1.00	92-99

Production per day

Probability

Cumulative Probability

Random Numbers Assigned

146

0.04

00-03

147

0.09

0.13

04-12

148

0.12

0.25

13-24

149

0.14

0.39

25-38

150

0.11

0.50

39-49

151

0.10

0.60

50-59

152

0.20

0.80

60-79

153

0.12

0.92

80-91

154

0.08

1.00

92-99

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