At one time, a well-known restaurant chain sold cherry pies. Professor D. Lund of the University of

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At one time, a well-known restaurant chain 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.
At one time, a well-known restaurant chain sold cherry pies.

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?

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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