6.69 The histogram in Figure 6.37 depicts the total points scored per game for every NCAAtournament basketball game between 1939 and 1992 (n  1,521). The mean is 143 and the standard deviation is 26.

a Does it appear that total points can be modeled as a normally distributed random variable?

b Show that the empirical rule holds for these data.

c Would you expect a total score to top 200 very often? 250? Why or why not?

d There are 64 games to be played in this year’s tournament. How many would you expect to have total scores below 100 points?