Could I please have help with this question
Parking Tickets? The City of Adelaide enjoys dishing out pana to your car a minute late. The council is so impressed with their work that they have released the parking fine data to you outlining the Date, Location and Number of Minutes Overtime. We are interested in a certain street, Hailfax Street, where you park every day, and there are no parking meters, only 2 hour parking limits. You will need the MINITAB worksheet called parkingfines.MTW for this question, which you can download from the Data files folder within the course website. For full marks, ensure you use correct statistical notation when expressing probabilities. Also show calculations and MINITAB output that supports your answers and finish off each result with a conclusion / comment. (a) (5 marks) For the entire month of January, what is the average num. minutes overtime until the fine gets issued? Find the probability that the council issues between 1 to 10 minutes overtime. For full marks, provide a correct probability statement and include your MINITAB output. (b) (4 marks) Find the probability that for a randomly chosen day, a fine is issued for being less than 1 minute overtime on Hailfax Street. For full marks, provide a correct probability statement and show all working out. Do not use MINITAB to compute the probability. (c) (4 marks) Suppose you plan to observe the average number of minutes overtime in parking fines for January every year. By using a random sample of 61 fines of the data and the mean of the sample as a point estimate, state the shape of the distribution for the means generated by this sample (give reasons). State the parameter values for the mean and standard deviation for this distribution. (d) (5 marks) Find the probability that the mean number of minutes overtime is greater than 20 minutes every January. For full marks, provide a correct probability statement and include your MINITAB output. (e) (6 marks) What would be the mean number of fines per day every January at the lowest 5% chance of getting a fine