Question

probability distributions
the table shows a probability distribution for predicting how many customers will come up to the ticket counter at a bus terminal during a ten - minute interval.
use the six randomly generated numbers 60, 12, 23, 82, 33, and 57 to predict how many customers will come to the counter per hour.
a. 10 customers
b. 8 customers
c. 12 customers
d. 9 customers
probability distribution

event	probability	cumulative probability	assigned numbers
1	0.26	0.38	13 - 38
2	0.31	0.69	39 - 69
3	0.22	0.91	70 - 91
4	0.09	1.00	92 - 100

Explanation:

Step1: Map numbers to events

• 60 → Event 2 (39-69)
• 12 → Event 0 (1-12)
• 23 → Event 1 (13-38)
• 82 → Event 3 (70-91)
• 33 → Event 1 (13-38)
• 57 → Event 2 (39-69)

Step2: List event customer counts

Event 0 = 0, Event1=1, Event2=2, Event3=3

Step3: Calculate total customers

$0 + 1 + 2 + 3 + 1 + 2 = 9$

Answer:

D. 9 customers