(c) Give a word description of the event { X #0 and Y #0}. At most one hose is in use at both islands. At least one hose is in use at both islands. One hose is in use on one island. One hose is in use on both islands. Compute the probability of this event. P(X = 0 and Y ‡ 0) = (d) Compute the marginal pmf of X. Px(x) 5 Compute the marginal pmf of Y. y Py(y) 0 P(X ≤ 1) = 0 Using px(x), what is P(X < 1)? 11 1 1 10 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).
(c) Give a word description of the event { X #0 and Y #0}. At most one hose is in use at both islands. At least one hose is in use at both islands. One hose is in use on one island. One hose is in use on both islands. Compute the probability of this event. P(X = 0 and Y ‡ 0) = (d) Compute the marginal pmf of X. Px(x) 5 Compute the marginal pmf of Y. y Py(y) 0 P(X ≤ 1) = 0 Using px(x), what is P(X < 1)? 11 1 1 10 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...
Related questions
Question
Please answer C, D, E THANK YOUU!
| y | ||||
|
p(x,y)
|
0 | 1 | 2 | |
| x | 0 | 0.10 | 0.05 | 0.02 |
| 1 | 0.07 | 0.20 | 0.08 | |
| 2 | 0.05 | 0.14 | 0.29 |
Transcribed Image Text:(c) Give a word description of the event { X 0 and Y # 0}.
At most one hose is in use at both islands.
At least one hose is in use at both islands.
One hose is in use on one island.
One hose is in use on both islands.
Compute the probability of this event.
4
P(X = 0 and Y # 0) =
(d) Compute the marginal pmf of X.
X
Px(x)
Compute the marginal pmf of Y.
y
Py(y)
0
P(X ≤ 1) =
0
Using px(x), what is P(X ≤ 1)?
11
1
1
10
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).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON