A local bakery has determined a probability distribution for the number of cheesecakes that they sell in a given day. The distribution is as follows:
Numbers sold in a day | 0 | 5 | 10 | 15 | 20 |
Prob (Numbers Sold) | 0.17 | 0.16 | 0.1 | 0.06 | 0.51 |
Find the number of cheesecakes that this local bakery expects to sell in a day.(Show work)
From the given data, the following Table is calculated:
Numbers sold in a day (x) | Prob (Numbers Sold) (p) | x p |
0 | 0.17 | 0 X 0.17 = 0 |
5 | 0.16 | 5 X 0.16 = 0.80 |
10 | 0.10 | 10 X 0.10 = 1.00 |
15 | 0.06 | 15 X 0.06 = 0.90 |
20 | 0.51 | 20 X 0.51 = 10.20 |
Total = | 12.90 |
So,
the number of cheesecakes that this local bakery expects to sell in a day =
= 13 (Round to integer)
So,
Answer is:
13
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