Question: A discrete variable Q, extra inventory units, has integer values from 1 to 10. When sampled 100 times, the following observed probability distribution was obtained:

A discrete variable Q, extra inventory units, has integer values from 1 to 10. When sampled 100 times, the following observed probability was obtained:

3 10 9. 0.2 0.1 0.1 P(0) 0.2 0.2 0.2

(a) Determine the sample average and standard deviation by hand.

(b) Determine the sample average and standard deviation by spreadsheet.

(c) Determine the values 1 and 2 standard deviations from the mean. Of the 100 sample points, how many fall within these two ranges?

3 10 9. 0.2 0.1 0.1 P(0) 0.2 0.2 0.2

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