(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).
(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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Question
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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f3dcdba-1f7a-44a7-8c80-a17cbffdad29%2F46cb22f3-de62-4dfd-ab7a-bcdb3bddae92%2Fww3teq8_processed.png&w=3840&q=75)
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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