Rstudio Problem 1:1- Plot the p.d.f of Gamma (2, 2) and Gamma(3, 2) in the same plot.2- Generate 1000 numbers from X~ Gamma(2, 2), and 1000 numbers from Y~3- Calculate W =Xy, and plot the histogram of W.X+Y¹4- Compute the mean, the variance and the quartiles of Z.6- Determine the distribution of W.Gamma (3,2).

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Answered: Problem 1: 1- Plot the p.d.f of…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 8E

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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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Problem 1: 1- Plot the p.d.f of Gamma(2, 2) and Gamma(3, 2) in the same plot. 2- Generate 1000 numbers from X~ Gamma(2, 2), and 1000 numbers from Y Gamma(3, 2). 3- Calculate W X+Y and plot the histogram of W. %3D