Question

9 the table shows a probability distribution for predicting how many cars will arrive at a car wash. each event represents how many cars arrive during a ten - minute interval. use the six randomly generated numbers 55, 86, 2, 12, 72, and 48 to predict how many cars will arrive over a one - hour period.

event	0 cars	1 car	2 cars	3 cars	4 cars
cumulative probability	0.18	0.40	0.70	0.87	1.00
assigned numbers	1 - 18	19 - 40	41 - 70	71 - 87	88 - 100

Explanation:

Step1: Match 55 to event

55 is in 41-70 → 2 cars

Step2: Match 86 to event

86 is in 71-87 → 3 cars

Step3: Match 2 to event

2 is in 1-18 → 0 cars

Step4: Match 12 to event

12 is in 1-18 → 0 cars

Step5: Match 72 to event

72 is in 71-87 → 3 cars

Step6: Match 48 to event

48 is in 41-70 → 2 cars

Step7: Sum all car counts

$2 + 3 + 0 + 0 + 3 + 2 = 10$

Answer:

• 55 → 2 cars
• 86 → 3 cars
• 2 → 0 cars
• 12 → 0 cars
• 72 → 3 cars
• 48 → 2 cars

Total for one hour: 2 + 3 + 0 + 0 + 3 + 2 = 10 cars