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The histogram in Figure 6.37 depicts the total points scored per game for every NCAA tournament 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?

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Electrical & Electronics, Engineering

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