Brifly workout this question.
1.The number of customers arriving
per hour at Arba Minch town main branch of Ethiopian
commercial bank for service facility is assumed to follow a Poisson distribution with mean
(a) Compute the probability that exactly 20 customers will arrive in a given hour period.
(b) Compute the probability that more than 10 customers will arrive in a 2-hour period.
(a) To compute the probability that exactly 20 customers will arrive in a given hour period, we can use the Poisson probability formula:
P(x; λ) = (e^(-λ) * λ^x) / x!
Where x is the number of customers (20 in this case) and λ is the mean (which is not provided in the question).
(b) To compute the probability that more than 10 customers will arrive in a 2-hour period, we can use the complementary probability approach. First, we calculate the probability of 10 or fewer customers arriving in a 2-hour period using the Poisson distribution formula. Then, we subtract this probability from 1 to get the probability of more than 10 customers.
Unfortunately, without knowing the mean (λ), we cannot provide specific numerical answers to these questions.