?NCAA Basketball Point Spreads Revisited See Problem 45. In games where a team is favored by more than 12 points, the margin of victory for the favored

Chapter 7, Problem 46

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NCAA Basketball Point Spreads Revisited See Problem 45. In games where a team is favored by more than 12 points, the margin of victory for the favored team relative to the spread is normally distributed with a mean of -1.0 point and a standard deviation of 10.9 points. Source: Justin Wolfers, “Point Shaving: Corruption in NCAA Basketball”

(a) In games where a team is favored by more than 12 points, what is the probability that the favored team wins by 5 or more points relative to the spread?

(b) In games where a team is favored by more than 12 points, what is the probability that the favored team loses by 2 or more points relative to the spread?

(c) In games where a team is favored by more than 12 points, what is the probability that the favored team “beats the spread”? Does this imply that the possible point shaving spreads are accurate for games in which a team is favored by more than 12 points?

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