(a) Use the RAND function in Excel© to generate 100 values from a U(0,1) distribution. Calculate the average and compare it to 0.5, the expected value for a random sample between 0 and 1. (b) For the RAND function sample, cluster the results into cells of 0.1 width, that is, 0.0 to 0.1, 0.1 to 0.2, etc., where the upper-limit value is excluded from each cell. Determine the probability for each grouping from the results. Does your sample come close to hav­ing approximately 10% in each cell?

What will be an ideal response?


(a) When the RAND( ) function was used for 100 values in column A of a spreadsheet,
the function = AVERAGE(A1:A100) resulted in 0.50750658; very close to 0.5.

(b) For the RAND results, count the number of values in each cell to determine how
close it is to 10.

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