Cherry Pies. At one time, a well-known restaurant chains sold cherry pies. Professor D. Lund of the University of Wisconsin -

Eau Claire enlisted the help of one of his classes to gather data on the number of cherries per pie. The data obtained by the students are presented in the following table.

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a. For the student data, find the mean number of cherries per pie.

b. For the student data, construct a relative-frequency distribution for the number of cherries per pie.

c. Assuming that, for cherry pies sold by the restaurant, the number of cherries per pie has a Poisson distribution with the mean from part (a), obtain the probability distribution of the number of cherries per pie.

d. Compare the relative frequencies in part

(b) to the probabilities in part (c). What conclusions can you draw?