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please explain thoroughly. Calculus and statistics/probability. Question 2 2 pts O 1 0 Details The annual rainfall in a certain country varies from 0 to

please explain thoroughly. Calculus and statistics/probability.

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Question 2 2 pts O 1 0 Details The annual rainfall in a certain country varies from 0 to 11 inches and is a random variable with probability density function defined by 11.5 - c f(x) = 66 Find the following probabilities for the annual rainfall in a randomly selected year. Round your answers to 4 decimal places as needed. What is the probability that the annual rainfall is greater than 8 inches per year? What is the probability that the annual rainfall is less than 7 inches per year? What is the probability that the annual rainfall is between 5 and 10 inches per year

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