Solve i ,ii,iii
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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Solve i ,ii,iii
Transcribed Image Text:8. For the RV (X, Y) the joint PDF is given as
if 0≤x, y ≤ 2
elsewhere
(a) fx,y(x, y)
4
(b) fx,y (x, y) =
(e-(x+y) if x ≥ 0, y ≥0
elsewhere
Find for (a) and (b), (i) P {X ≤ 1, Y ≤ 1} (ii) P {X + Y ≤ 1} (iii) P {X + Y > 2} (iv) P {X ≤ 2Y}
(v) P {X > 1} (vi) P{X = Y} (vii) P {Y > 1| X ≤ 1} (viii) P {X > Y|Y> 1}.
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