The average annual rainfall in Brazil is 52.1" of rain per year with a standard deviation of 10" per year.

Assume a Normal distribution applies to annual rainfall in Brazil.

1. What percent of the year do you predict that does Brazil's rainfall exceeds 75" per year?
2. What is the probability that over the next 2 years the annual rainfall in Brazil exceeds 75" per year for both years? Assume each year's annual rainfall is independent of the next year's annual rainfall.
3. What is the interquartile range of the annual rainfall in Brazil?
4. Suppose a person moves to Brazil to go to work for the next 4 years. What is the probability that those 4 years average less than 48" of rainfall?
5. Suppose someone wants to move to Brazil for 4 years, but only if the average rainfall over 4 years is more than 61.9" per year 2.5% of the time and less than 42.3" per year 2.5% of the time. Do you recommend that they move to Brazil? Explain and show work.