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Assume that the length of a typical televised baseball game, including all comme

ID: 3045354 • Letter: A

Question

Assume that the length of a typical televised baseball game, including all commercial time outs, is normally distributed with mean 2.45 hours and standard deviation of 0.37 hours.

Consider a televised game that begins at 2:00 in the afternoon. The next regularly scheduled broadcast is at 5;00 in the afternoon.

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 4:30-5:00 slot.

What is the probability of this occurring?

Explanation / Answer

a)

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

b)

probability game will end before 4:30

for normal distribution z score =(X-)/ here mean=       = 2.450 std deviation   == 0.37
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