(a) Find the marginal density function for Y,. , where Find the marginal density function for Y2. f2(Y2) = , where (b) Find P( Y, s Y, s (Enter your probability as a fraction.) (c) Find the conditional density function of Y, given Y2 = Y2. ]sv, sYz s[ ,where
(a) Find the marginal density function for Y,. , where Find the marginal density function for Y2. f2(Y2) = , where (b) Find P( Y, s Y, s (Enter your probability as a fraction.) (c) Find the conditional density function of Y, given Y2 = Y2. ]sv, sYz s[ ,where
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 30CR
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Transcribed Image Text:We determined that
- [6(1 - Y2), 0 sy, sY2 s 1,
l0,
elsewhere,
is a valid joint probability density function.
(a) Find the marginal density function for Y,.
f,(v,) =
where
Find the marginal density function for Y,.
f,(v2) =
where
(b) Find P( Y, s- Y1
(Enter your probability as a fraction.)
(c) Find the conditional density function of Y, given Y, = Y2.
(y,\y2) =
where
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