Question

In: Statistics and Probability

A survey has been conducted in canteen during the lunch time. The average number of customers...

A survey has been conducted in canteen during the lunch time. The average number of customers arrived in a 5-minute interval is 8.

a) What is the probability that exactly 3 customers will arrive in a 2-minute interval?

b) What is the probability that less than 3 customers will arrive in a 4-minute interval?

c) What is the probability that more than 1 customers will arrive in a 30-second interval?

Solutions

Expert Solution

(a)

Let X is a random variable shows the number of customers arrive in a 2 minute interval. Here X has Poisson distribution with parameter

The probability that exactly 3 customers will arrive in a 2-minute interval is

(b)

Let X is a random variable shows the number of customers arrive in a 4 minute interval. Here X has Poisson distribution with parameter

The probability that less than 3 customers will arrive in a 4-minute interval is

(c)

30 second = 0.5 minute

Let X is a random variable shows the number of customers arrive in a 0.5 minute interval. Here X has Poisson distribution with parameter

The probability that more than 1 customers will arrive in a 30-second interval is

orchestra answered 2 years ago
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