Organizers of an outdoor summer concert in Toronto are concerned about the weath
ID: 3134416 • Letter: O
Question
Organizers of an outdoor summer concert in Toronto are concerned about the weather conditions on the day of the concert. They will make a profit of $38,000 on a clear day and $18,000 on a cloudy day. They will make a loss of $6,000 if it rains. The weather channel has predicted a 48% chance of rain on the day of the concert. Calculate the expected profit from the concert if the likelihood is 17% that it will be sunny and 35% that it will be cloudy.
Organizers of an outdoor summer concert in Toronto are concerned about the weather conditions on the day of the concert. They will make a profit of $38,000 on a clear day and $18,000 on a cloudy day. They will make a loss of $6,000 if it rains. The weather channel has predicted a 48% chance of rain on the day of the concert. Calculate the expected profit from the concert if the likelihood is 17% that it will be sunny and 35% that it will be cloudy.
Explanation / Answer
expected profit = 38000 X 0.17 + 18000 X 0.35 - 6000 X 0.42 = $10240
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