The local police department must write, on average, 5 tickets a day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows a Poisson distribution with a mean of 6.5 tickets per day. Interpret the value of the mean.
A) The number of tickets that is written most often is 6.5 tickets per day.
B) The mean has no interpretation since 0.5 ticket can never be written.
C) Half of the days have less than 6.5 tickets written and half of the days have more than 6.5 tickets written.
D) If we sampled all days, the arithmetic average or expected number of tickets written would be 6.5 tickets per day.
Question 2
A lab orders 100 rats a week for each of the 52 weeks in the year for experiments that the lab conducts. Suppose the mean cost of rats used in lab experiments turned out to be 13.00 per week. Interpret this value.
A) The median cost for the distribution of rat costs is 13.00.
B) The rat cost that occurs more often than any other is 13.00.
C) Most of the weeks resulted in rat costs of 13.00.
D) The expected or average cost for all weekly rat purchases is 13.00.
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