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Y1 + Y2, 0< yı < 1,0 < y2 < 1, f(y1, 42) = 0, elsewhere a) Find marginal density functions. Are Y1 and Y2 independent? b) Could you tell whether Y1 and Y, were independent or not without finding marginal density functions? Explain. c) Find P(Y1 + Y2 < 0.2).

Y1 + Y2, 0< yı < 1,0 < y2 < 1, f(y1, 42) = 0, elsewhere a) Find marginal density functions. Are Y1 and Y2 independent? b) Could you tell whether Y1 and Y, were independent or not without finding marginal density functions? Explain. c) Find P(Y1 + Y2 < 0.2).

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The joint density function of Y1 and Y, is given by Jyn + Y2, 0< Yı < 1,0 < y2 < 1, f(y1, 42) = 0, _A elsewhere a) Find marginal density functions. Are Y1 and Y, independent? b) Could you tell whether Y1 and Y2 were independent or not without finding marginal density functions? Explain. fo c) Find P(Y1 +Y½ < 0.2). d) Find P(0 < Y½ < 0.5|Y1 = 0.4).
Transcribed Image Text:The joint density function of Y1 and Y, is given by Jyn + Y2, 0< Yı < 1,0 < y2 < 1, f(y1, 42) = 0, _A elsewhere a) Find marginal density functions. Are Y1 and Y, independent? b) Could you tell whether Y1 and Y2 were independent or not without finding marginal density functions? Explain. fo c) Find P(Y1 +Y½ < 0.2). d) Find P(0 < Y½ < 0.5|Y1 = 0.4).
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