The heights (in inches) of NBA basketball player draft picks are described by the density histogram in Fig. 86. The heights of the bars were drawn using densities rounded to the second place to make it easier to estimate the heights of the bars

a. Estimate the area of each of the six bars of the density histogram.
b. Find the sum of your results in part (a). Explain why the sum is not exactly 1.
c. Copy the density histogram on a piece of paper and draw a normal curve on the histogram so that the curve describes the player-height distribution well.
d. Explain why the area under the normal curve you sketched should equal your result in part (b). Your explanation should refer to regions where the curve undercounted or over counted the total area of the bars.
e. If the heights of the bars had been drawn using non- rounded densities, what would the total area of the bars have been? What would the total area under the normal curve have been?

Transcribed Image Text:

Heights of NBA Draft Picks 0.12 0.10 0.08 0.06 0.04 0.02 70 73 76 79 82 85 88 Inches