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bachelor in business administration
Polytechnic State University Sanluis
Jan-2006 - Nov-2010
CPA
Polytechnic State University
Jan-2012 - Nov-2016
Professor
Harvard Square Academy (HS2)
Mar-2012 - Present
Suppose that the random variables Y1 and Y2 have joint probability density function, f (y1, y2), given by (see Exercise 5.14)
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a Show that the marginal density of Y1 is a beta density with α = 3 and β = 2.
b Derive the marginal density of Y2.
c Derive the conditional density of Y2 given Y1 = y1.
d Find P(Y2 1.1|Y1 =.60).
Exercise 5.14
Suppose that the random variables Y1 and Y2 have joint probability density function f (y1, y2) given by
![]()
a Verify that this is a valid joint density function.
b What is the probability that Y1 + Y2 is less than 1?
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