In New York City in the late 1970s and early 1980s, parking meter collections averaged $1:65 million per month with a standard deviation of $316 thousand per month. Assume that the amount generated per month is Normal with the mean and standard deviation from the previous sentence. For about two years the city hired Brink's Inc. to do collections instead. The data le gives the collections that Brink's reported to the city during that period.
(a) What is the sample size for this data?
(b) What is the sample mean?
(c) The city was concerned that Brink's was stealing money from the parking meter receipts. Assume that this sample of months is like a random sample. Given your answers to the rst two parts, what is the probability of a sample at least as far below the mean as the sample from the period of the Brink's contract?