(d) Compute the marginal pmf of X. X 0 1 Px(x) Compute the marginal pmf of Y. y Py(Y) Using Px(x), what is P(X ≤ 1)? P(X ≤ 1) = (e) Are X and Y independent rv's? Explain. 2 2 O X and Y are independent because P(x,y) = Px(x) Py(Y). O X and Y are not independent because P(x,y) = Px(x) Py(Y). O X and Y are not independent because P(x,y) = Px(x) · Py(Y). O X and Y are independent because P(x,y) = Px(x) Py(Y). 1
(d) Compute the marginal pmf of X. X 0 1 Px(x) Compute the marginal pmf of Y. y Py(Y) Using Px(x), what is P(X ≤ 1)? P(X ≤ 1) = (e) Are X and Y independent rv's? Explain. 2 2 O X and Y are independent because P(x,y) = Px(x) Py(Y). O X and Y are not independent because P(x,y) = Px(x) Py(Y). O X and Y are not independent because P(x,y) = Px(x) · Py(Y). O X and Y are independent because P(x,y) = Px(x) Py(Y). 1
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Q11.2
Transcribed Image Text:A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let y denote the number of
hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation.
y
p(x, y)
0
1
2
0
0.10 0.03 0.01
1
0.07 0.20 0.07
2 0.06 0.14 0.32
Transcribed Image Text:(d) Compute the marginal pmf of X.
0
1
Px(x)
Compute the marginal pmf of Y.
у
0
Py(y)
Using Px(x), what is P(X ≤ 1)?
P(X ≤ 1) =
(e) Are X and Y independent rv's? Explain.
2
1
2
O X and Y are independent because P(x,y) = Px(x) Py(Y).
O X and Y are not independent because P(x,y) = Px(x) · Py(Y).
O X and Y are not independent because P(x,y) = Px(x). Py(Y).
O X and Y are independent because P(x,y) = Px(x) · Py(Y).
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