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Question: Physical Sciences Tropical rainforests are located in areas near the Equator. The temperature in a typical rainforest ranges from 20 to 30°C, and the humidity is usually between 77% and 88%.29 The mean amount of rain per year in any one rainforest is m 5 155 inches with standard deviation σ = 35 inches. Suppose 30 rainforests are selected at random and the amount of rain per year is recorded for each.

a. What is the probability that the mean rainfall per year for the 30 rainforests is more than 170 inches?

b. What is the probability that the mean rainfall is between 140 and 150 inches?

c. Find a value r such that the probability that the mean rainfall is less than r is 0.001.

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