Question

Q2. A study is conducted of the volume of calls received on the switch board of an insurance
firm. A count is made of the number of incoming calls per minute for a sample of 120
minutes. The results of the study are shown below:
Number of calls per annum 0 1 2 3 4 5
Number of minutes 50 40 16 10 51
The statistician making the study believes that the incoming calls are distributed according to
the Poisson distribution. Do you think his assumption is true?​

Answer 1

Answer:

A study is conducted of the volume of calls received on the switch board of an insurance

firm. A count is made of the number of incoming calls per minute for a sample of 120

minutes. The results of the study are shown below...

Answer 2

Answer:

here is your answer

Explanation:

We can use Poisson Distribution here,

X = # of calls per minute

E(X) = 3

let Y be # of calls per 5 minutes

E(Y) = 15

Y follows poisson with mean 15

we are supposed to find out :

P(at most 3 calls) = P(y = 0) + P(y = 1) + P(y = 2) + P(y = 3)

You can do the maths now.