(d) Compute the marginal pmf of X. Px(x) Compute the marginal pmf of Y. Py(V) 0 P(X ≤ 1) = | 0 1 1 Using px(x), what is P(X < 1)? 2 2 (e) Are X and Y independent rv's? Explain. OX and Y are not independent because P(x, y) = px(x) · py(y). OX and Y are independent because P(x, y) = Px(x) · Py(y). OX and Y are not independent because P(x, y) ‡ px(x) · py(y). OX and Y are independent because P(x, y) = px(x) · Py(y).

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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Answer D, E
 
  y
p(x,y)
  0 1 2
x 0 0.10 0.03 0.02
1 0.06 0.20 0.07
2 0.05 0.14 0.33

 

(d) Compute the marginal pmf of X.
X
Px(x)
Compute the marginal pmf of Y.
y
Py(y)
0
P(X ≤ 1):
=
0
1
Using px(x), what is P(X < 1)?
1
2
2
(e) Are X and Y independent rv's? Explain.
OX and Y are not independent because P(x, y) = Px(x) · py(y).
OX and Y are independent because P(x, y) = Px(x) · Py(y).
OX and Y are not independent because P(x, y) #px(x). Py(y).
OX and Y are independent because P(x, y) = px(x) · py(y).
Transcribed Image Text:(d) Compute the marginal pmf of X. X Px(x) Compute the marginal pmf of Y. y Py(y) 0 P(X ≤ 1): = 0 1 Using px(x), what is P(X < 1)? 1 2 2 (e) Are X and Y independent rv's? Explain. OX and Y are not independent because P(x, y) = Px(x) · py(y). OX and Y are independent because P(x, y) = Px(x) · Py(y). OX and Y are not independent because P(x, y) #px(x). Py(y). OX and Y are independent because P(x, y) = px(x) · py(y).
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