ASAPPP The joint density function of Y1 and Y, is given byJyn + Y2, 0< Yı < 1,0 < y2 < 1,f(y1, 42) =0,_Aelsewherea) Find marginal density functions. Are Y1 and Y, independent?b) Could you tell whether Y1 and Y2 were independent or not without finding marginaldensity functions? Explain.foc) Find P(Y1 +Y½ < 0.2).d) Find P(0 < Y½ < 0.5|Y1 = 0.4).

Note: According to Bartleby Expert guideline, we can answer only first three subparts of a question…

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)

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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Question

ASAPPP

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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