How much time would she expect to sell? How much profit would she expected to make? How many cups would she expect to have left at the end of the day?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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  1. A local coffee shop in Greensboro sells coffee cups. Suppose that coffee cups are only one size and one type. The cup of coffee sells for $2.50 per cup. The daily demand for coffee (from that local shop in cups) can be expressed by the following probability mass function.

x

f(x)

15

0.06

20

0.22

25

0.37

30

0.25

35

0.05

45

0.05

The store manager estimates the cost of a cup of coffee to be $1.25 per cup.  If she places an order at the beginning of the day for 30 units,

  1. How much time would she expect to sell?
  2. How much profit would she expected to make?
  3. How many cups would she expect to have left at the end of the day?
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