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Statistics Probability: Length of a Typical Televised Football Game

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Suppose the length of a typical televised football game, including all commercial timeouts, is normally distributed with a mean of 2.45 hours and standard deviation 0.37 hour. Consider a televised football game that begins at 2:00 in the afternoon. The next regularly scheduled broadcast is at 5:00.

What is the probability that the game will cut into the the next programming, that is, go past 5:00?

If the football game is over before 4:30, another half-hour show can be inserted into the 4:30-5:00 slot. What is the probability of this occurring?

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