Solution 19.25 A newsstand manager is tracking Y, the number of weekly magazines left on the shelf when the new edition is delivered. Data collected over a 30-week period are summarized by the following probability distribution. Use a spreadsheet to plot the distribution and the estimates for expected value and 1 standard deviation on either side of E(Y) on the plot.
 FIGURE 1.png)
E(Y) = 3(1/3) + 7(1/4) + 10(1/3) + 12(1/12)
= 1 + 1.75 + 3.333 + 1
= 7.083
Var(Y) = ? Y2P(Y) - [E(Y)]2
= 32(1/3) + 72(1/4) + 102(1/3) + 122(1/12) - (7.083)2
= 60.583 - 50.169
= 10.414
?(Y) = [VAR(Y)]0.5 = 3.227
E(Y) ± 1? is 7.083 ± 3.227 = 3.856 and 10.310
 ANSWER.png)
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