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Probability of normal distribution

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

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

b. If the game is over before 4:30, another half-hour show can be inserted into the 4:30-5:

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Solution Summary

Use standard z-table to find the probability, after normalization.

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