Question

You have observed that the number of hits to your web site follows a Poisson distribution at a rate of 3 per hour. Let X is the time between hits and it follows Exponential distribution.

1. What is an average time in minutes between two hits?

2. What is the probability, that you will need to wait less than 40 minutes between two hits?

3. What is the probability, that there will be 2 hits in the next hour?

1. (0.5 points) The time between hits follows an exponential distribution with parameter ________________ . Thus, the average time in minutes between two hits is equal to ______________________

2. (0.5 points) The probability, that you will need to wait less than 40 minutes between two hits is calculated using such formula ____________________________ and is equal to _________________________.

3. (0.5 points) The probability, that there will be 2 hits in the next hour is calculated using __________________ function of _________________ distribution. Thus, ___________________________________.

Answer 1