summer rainfall totals, in inches, in a section of the Midwestern United States have approximately a gamma distribution with nd the mean, in inches, and variance of the four-week rainfall totals. x) = in x) = hat is the probability that the four-week rainfall total exceeds 6 inches? (Round your answer to four decimal places.)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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17
Four-week summer rainfall totals, in inches, in a section of the Midwestern United States have approximately a gamma distribution with a = 1.2 and = 3.
(a) Find the mean, in inches, and variance of the four-week rainfall totals.
E(X) =
in
V(X) =
(b) What is the probability that the four-week rainfall total exceeds 6 inches? (Round your answer to four decimal places.)
Transcribed Image Text:17 Four-week summer rainfall totals, in inches, in a section of the Midwestern United States have approximately a gamma distribution with a = 1.2 and = 3. (a) Find the mean, in inches, and variance of the four-week rainfall totals. E(X) = in V(X) = (b) What is the probability that the four-week rainfall total exceeds 6 inches? (Round your answer to four decimal places.)
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