Arrivals at a fast-food restaurant follow a poisson distribution with a mean arrival rate of 16 customers per hour. what is the probability that in the next hour there will be exactly 9 arrivals?
a. 0.7500
b. 0.1322
c. 0.
d. 0.0213
e. none of the above

d. 0.0213

Step-by-step explanation:

Given : Mean arrival rate = 16 customers per hour.

The Poisson distribution formula is given by :-

,where is the mean of the distribution.

If X = the number of customers arrivals , then the probability  that in the next hour there will be exactly 9 arrivals will be :-

Hence, the probability that in the next hour there will be exactly 9 arrivals= 0.0213

Therefore , the correct answer is option (d.).