a) ) For the entire month of January, what is the average number of minutes overtime until the fine gets issued? Find the probability that the council issues between 1 to 10 minutes overtime. what would the probability statement be

b) Find the probability that for a randomly chosen day, a fine is issued for being less than 1 minute overtime on Hailfax Street. show worjing out and probability statement

c) 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) ) Find the probability that the mean number of minutes overtime is greater than 20 minutes every January

e) What would be the mean number of fines per day every January at the lowest 5% chance of getting a fine?

table below of fines overtime in month of January ( numbers in order from 1st-31st of the month)

Number of Minutes Overtime (min)

23.7 17.4 30.3 18.5 16.9 4.6 33.0 20.9 21.3 17.0 16.9 15.9 17.0 27.3 8.1 26.3 20.2 30.9 28.2 15.8 15.1 14.9 15.5 14.7 18.7 18.4 18.6 9.3 4.7 19.2 17.8 21.4 32.5 16.8 24.2 30.8 11.9 31.5 29.5 15.1 32.0 8.8 16.6 25.4 12.1 19.4 27.8 24.1 11.8 19.8 16.0 30.0 16.1 23.5 6.9 14.0 21.1 16.6 27.3 31.5 12.6 19.1 18.2 25.6 19.3 18.1 27.4 10.1 12.9 14.1 28.2 16.9 26.6 27.6 15.9 11.8 20.8 4.7 19.4 20.4 20.6 22.9 9.3 21.5 26.7 21.1 17.6 21.5 21.0 13.2 11.4 18.1 17.0 26.1 23.8 14.4 13.7 12.7 24.3 21.6