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The average demand for rental skis on winter Saturdays at a particular area is 150 pairs,which has been quite stable over time. There is variation

The average demand for rental skis on winter Saturdays at a particular area is 150 pairs,which has been quite stable over time. There is variation due to weather conditions andcompeting areas; the standard deviation is 20 pairs. The demand distribution seems to beroughly normal.

(a) The rental shop stocks 170 pairs of skis. What is the probability that demand will exceedthis supply on any winter Saturday?

(b) How many pairs of skis in stock does the shop have to have to make the probability inquestion (a) less than .01?

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