1. The number of views of a web page can be modelled by a Poisson distribution with a mean of 2.4 per minute.

Answer all the following questions. answer in excel function unless otherwise stated. e.g: POISSON. DIST( xx,xx,xx)

A) What is the standard deviation of the number of views of the web page per mniute?

B) Calculate the probability that there is exactly 3 views of the web page per minute?

C) Calculate the probability that there are at most 3 views of the web page in a 5-minute period.

2.

LetT represent the time (in minutes) between two successive views of the web page. T can be modelled by an exponential random variable.

1. State the parameter value of the exponential variableT. [1 mark]
2. After one particular view of the web page, what is the chance of the next view occuring within one minute? [2 marks]
3. Calculate the variance of the exponential variableT. [2 marks]