20. The quantity demanded (in thousands of pounds) of a Red Farms Butter each week is a contniuouis 1 1 random variable with probability density function (PDF): (0≤x≤6). 36 a) Show that it is a PDF on the specified interval. f(x) = 72 ·X- b) What is the probability that between 3-4 thousand pounds of butter will be demanded in a randomly selected week?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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20. The quantity demanded (in thousands of pounds) of a Red Farms Butter each week is a contniuouis
1 1 2
36
random variable with probability density function (PDF): f(x)=x -x² (0≤x≤6).
a) Show that it is a PDF on the specified interval.
b) What is the probability that between 3-4 thousand pounds of butter will be demanded in a randomly
selected week?
Transcribed Image Text:20. The quantity demanded (in thousands of pounds) of a Red Farms Butter each week is a contniuouis 1 1 2 36 random variable with probability density function (PDF): f(x)=x -x² (0≤x≤6). a) Show that it is a PDF on the specified interval. b) What is the probability that between 3-4 thousand pounds of butter will be demanded in a randomly selected week?
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