8Four-week summer rainfall totals, in inches, in a section of the Midwestern United States have approximately a gamma distribution with a = 1.3 and ß = 3.(a) Find the mean, in inches, and variance of the four-week rainfall totals.E(X) =inV(X) =(b) What is the probability that the four-week rainfall total exceeds 4 inches? (Round your answer to four decimal places.)

The Gamma distribution , α = 1.3 β = 3 Mean = ? Variance = ? P(X>4) = ?

Answered: 8 Four-week summer rainfall totals, in…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2AGP

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Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.
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