where alpha > 0, find the method of moments (MOM) estimator for alpha. Suppose that {X1, X2, ···, Xn} is a random sample from the following pdf{f(x|x) =axa-13a0for 0 ≤ x ≤ 3;otherwise,

Given information: fx|α=αxα-13α for 0≤x≤3

Answered: Suppose that {X₁, X2, ···, Xn} is a…

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.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 42CR

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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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Suppose that {X₁, X2, ···, Xn} is a random sample from the following pdf 2 f(x|x) = axa-1 3a for 0≤x≤ 3;