Question

A street noodle vendor in Singapore can service an average of 10 customers per hour. Given an average arrival rate of 8 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand.

What is the probability of having, at most, 10 customers arriving within 1 hour?

a

0.8159

b

0.2834

c

0.1841

d

0.7166

e

0.0993

Answer 1

Answer:

• Option a: 0.8159

Explanation:

• For this we will calculate probability of 0, 1, 2, 3, 4, 5,6,7,8,9,10 customers arriving.
• P(X<=10) = [ P(X=0) + P(X=1) + P(X=2) +P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7) + P(X=8)+ P(X=9)+ P(X=10)]
• Below is the snapshot of excel for the same (using poisson function in excel)

Note: Please rate the answer.