In sports betting, sports books establish winning margins for a team that is favored to win a game. An individual can place a wager on the game and will win if the team bet upon wins after accounting for this spread. For example, if Team A is favored by 5 points, and wins the game by 7 points, then a bet on Team A is a winning bet. However, if Team A wins the game by only 3 points, then a bet on Team A is a losing bet. Suppose that in games, the margin of victory for the favored team relative to the spread is approximately normally distributed with a mean of 0 points and a standard deviation of 11.6 points. Complete parts a through c below. (a) What is the probability that the favored team wins by 8 or more points relative to the spread? The probability is 2454 (Round to four decimal places as needed.) (b) What is the probability that the favored team loses by 1 or more points relative to the spread? The probability is (Round to four decimal places as needed.).

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