The number of cars arriving at a self-service gasoline station during the last 5

Question

The number of cars arriving at a self-service gasoline station during the last 50 hours of operation are as follows:

Number of Car Arriving (week) Frequency                                                                                   

                                4                                                                              6     

                                5                                                                              5

                                6                                                                              9

                                7                                                                              2

                                8                                                                              8

                                9                                                                              7

                                10                                                                            3

Set up the probability and cumulative probability distribution for gasoline station. Also, calculate the average number of car arrival per week over the 10 week period and expected arrival, using the random numbers 15, 24, 13, 32, 25, 45, 85, 62, 8 and 18

Explanation / Answer

X number of car frequency probability x*P(X) cumulative 4 6 0.15 0.6 0.15 5 5 0.125 0.625 0.275 6 9 0.225 1.35 0.5 7 2 0.05 0.35 0.55 8 8 0.2 1.6 0.75 9 7 0.175 1.575 0.925 10 3 0.075 0.75 1 total 40 1 6.85 E(X) = 6.85

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