Question

Four-week summer rainfall totals, in inches, in a section of the Midwestern United States have approximately a gamma distribution with α = 1.9 and β = 5. (a) Find the mean, in inches, and variance of the four-week rainfall totals. (b) What is the probability that the four-week rainfall total exceeds 6 inches? (Round your answer to four decimal places.)

Name: four week summer rainfall totals in inches in a section of the midwestern united states have approximately a gamma distribution with 19 and 5 a find the mean in inches and variance of the fo 53156
Uploaded: 2023-04-03T16:25:11-08:00
Duration: 1 min 57 s
Channel: James Kiss
Description: four week summer rainfall totals in inches in a section of the midwestern united states have approximately a gamma distribution with 19 and 5 a find the mean in inches and variance of the fo 53156

          Four-week summer rainfall totals, in inches, in a section of the
Midwestern United States have approximately a gamma distribution
with 
α = 1.9
 and 
β = 5.
(a)
Find the mean, in inches, and variance of the four-week rainfall
totals.
(b)
What is the probability that the four-week rainfall total
exceeds 6 inches? (Round your answer to four decimal
places.)

Added by Vanessa R.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert James Kiss

04/03/2023

Step 1

9 * 5 = 9.5 Variance = 1.9 * 5^2 = 47.5 So, the mean is 9.5 inches and the variance is 47.5 square inches. $\boxed{\text{Mean} = 9.5, \text{Variance} = 47.5}$ (b) Show more…

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Four-week summer rainfall totals, in inches, in a section of the Midwestern United States have approximately a gamma distribution with α = 1.9 and β = 5. (a) Find the mean, in inches, and variance of the four-week rainfall totals. (b) What is the probability that the four-week rainfall total exceeds 6 inches? (Round your answer to four decimal places.)