The continuous random variable X on [-1,1] has pdf given byfx(x) = k(3x + 5) for x = [1,1]where k is a constant that you are going to determine.fx(x) = 0 outside the interval [-1,1]Hint: considerCalculate the following:i. kii. E(X)iii. Var(X)

Given that Pdf of X is f(x) = k(3x+5) , -1<x<1

Answered: The continuous random variable X on…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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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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The continuous random variable X on [-1,1] has pdf given by fx(x) = k(3x + 5) for x = [1,1] where k is a constant that you are going to determine. fx(x) = 0 outside the interval [-1,1] Hint: consider Calculate the following: i. k ii. E(X) iii. Var(X)