Part b

Question 2 (a) The following table shows data collected on the time to failure (in days) for a particular machine at a manufacturing plant. Plot the histogram using an interval width of 3 days. 79.91918.387 144.695 0.941 0.624 3.081 6.505 59.899 0.141 2.663 0.878- 1.928 31.764 14.382 0.006 0.021 1.192 43.567 17.967 3.371 3.315- 1.005 1.008 7.078 9-003 Identify the appropriate distribution based on the shape of the histogram you have obtained. Calculate the estimator for this distribution. (20 marks) (b) Suppose you have a limited dataset of ratio of customer complaints on 5 days as follows: 0.27, 0.54, 0.87, 0.12 and 0.92. Make an assumption about the distribution of customer complaints. Analyse the goodness-of-t of your selected distribution using the Q-Q plot. Discuss your ndings. (20 marks)