I'm new to this forum but I want to start off by making a request.

The thing is I'm working on a project regarding call-back advertising and want to make a statistical model describing call response time.

Let's say that I've got 5000 subscribers to my service which receive on average 4 calls per day and that the average call response time is 7 seconds.

Now let's say that the advertiser is due to pay the following amount after:

5 sec - $.01

10 sec - $.02

15 sec - $.03

25 sec - $.05

That is, if an ad is played for 5 seconds, he will pay $.01, if 10 seconds pass he will pay $.02 etc.

How would one go about figuring out how many of the advertisements per year are in the 0-5 sec criterion, the 5-10 sec etc. and calculate the possible profit of said advertisements.

I've been trying to do the calculations for the response time with a

*Normal pdf*with mean 7 seconds and standard deviations ranging from 2-5 seconds but I don't find the results believable.

Any advice on the problem is greatly appreciated!

Sincerely,

The Chosen One