1. Consider the following continuous Joint PDF. x f(x,y) = K. y2 In < x
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.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 1YT
Question
Transcribed Image Text:1. Consider the following continuous Joint PDF.
x
f(x, y) = K.+2
y2
In ½-½ <x<y and 1<y<2
y
a. Sketch the region where the PDF lies.
b. Find the value of the constant K that makes this a valid joint probability density
function
c. Find the marginal density function of Y.
d. Find the Expectation of Y.
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Step 1: Write the given information.
VIEWStep 2: Sketch the region defined by probability density function.
VIEWStep 3: Determine the value of constant K that makes this a valid joint probability density function.
VIEWStep 4: Compute the marginal density function of Y.
VIEWStep 5: Compute the expectation of Y.
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