Zaki operates a car service centre. The number of cars arriving for service per
ID: 3290521 • Letter: Z
Question
Zaki operates a car service centre. The number of cars arriving for service per hour during the past 100 hours of operation is shown on the following table.
Number of cars arriving, x
2
3
4
5
6
7
8
Number of hours, f
2
10
18
25
20
15
10
Set up the probability and cumulative probability distribution table, and the random number intervals for the variable.
Simulate 10 hours of car arrivals, and calculate the average number of arrivals per hour.
The random numbers are 74, 49, 97, 71, 45, 20, 94, 68, 43, 17
Number of cars arriving, x
2
3
4
5
6
7
8
Number of hours, f
2
10
18
25
20
15
10
Explanation / Answer
now if 0 < n < 2 , x = 2
2 <x< 12 x =3
.12 <x< 30 x =4
30 <X< 55 ,x = 5
55 < x< 75 , x = 6
75 <x<90 , x= 7
90 <X< 100 x = 8
74, - 6
49,-5
97,-8
71, -6
45, -5
20, -4
94, -8
68, -6
43, -5
17,-4
hence average = 1/10*( 6+5+8+6+5+4+8+6+5+4) = 57/10 = 5.7
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x f cf 2 2 2 3 10 12 4 18 30 5 25 55 6 20 75 7 15 90 8 10 100Related Questions
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