The annual rainfall (in inches) in a certain region is normally distributed with meanµ = 40 and variance σ^2 = 25. Find the probability that between 35 and 50 inches of rain will fall in theregion in the year 2021. Express your final answer in terms of the standard normalcumulative distribution function Φ. What is the probability that in at least 2 of the next 10 years less than 20inches of rain are recorded in the region?

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The annual rainfall (in inches) in a certain region is normally distributed with mean
µ = 40 and

variance σ^2
 = 25.

Find the probability that between 35 and 50 inches of rain will fall in the
region in the year 2021. Express your final answer in terms of the standard normal
cumulative distribution function Φ.

What is the probability that in at least 2 of the next 10 years less than 20
inches of rain are recorded in the region?

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