Question

2. One software developer has established a toll-free support hotline for the customer to call when they have problems with the software. After three years of operation, the firm finds that the number of customers using hotline follows a Poisson process with an average of 4 calls per hour. What is the probability that on a particular workday, the hotline will receive

a)at least 1 calls per hour?

b) seven calls per hour?

c) exactly two calls per hour?

Answer 1

2.

Suppose, random variable X denotes number of calls received per hour.

The given situation is a Poison process.

Suppose, .

In case of Poisson distribution

From the given information an average 4 calls per hour is received.

(a)

Probability that at least 1 call per hour is received is given by

(b)

Probability that 7 calls per hour is received is given by

(c)

Probability that 2 calls per hour is received is given by