I am having trouble getting in contact with my lecturer so I am hoping for assistance here with a few questions and would like support in answering them.

The set data given are arrival times e.g. 11.59pm, 11.43pm,11.23pm ect. all on the same day.

**1. Draw the histogram of the Arrival Distribution and use the 5% significance test to test whether it is coming from an exponential distribution.**

Do I group the data into interval times?

How to solve exponential. Do I use f(x) = 1/theta . exp ^ -x/theta

**2. Estimate the parameter of the distribution**

**3. Show that the estimate used to estimate its parameter is the best estimate**

**4. Suppose the population increase by 100% within the next 10 years give the equation of the predicted distribution and draw its histogram**

**5. If every 5**

^{th}customer is getting a voucher give the arrival distribution of the customers who will receive a voucher**6. Give the distribution of the number of customers arriving in every half an hour**