If an average of 12 customers is served per hour, what is the probability that the next customer will arrive in 6 minutes or less?
A) 0.61
B) 0.30
C) 0.70
D) 0.39

Question

Quizplus · Accepted Answer

The average rate of customers arriving per hour is 12. This can be converted to a rate of customers arriving per minute by dividing by 60 (the number of minutes in an hour): 12/60= 0.2 customers per minute.
To calculate the probability that the next customer will arrive in 6 minutes or less, we can use the Poisson distribution formula: P(X≤1) where X is the number of customers arriving in 6 minutes.
Using a Poisson distribution table, we find that P(X≤1) = 0.7109.
Therefore, the probability that the next customer will arrive in 6 minutes or less is 0.7109, which is closest to C (0.70).

If an Average of 12 Customers Is Served Per Hour