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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. p(x, y) X 0 y 1 P(X= 1 and Y= 1) =| 0 0.10 0.05 0.02 1 0.06 0.20 0.08 2 0.05 0.14 0.30 (a) What is P(X = 1 and Y = 1)? 2 (b) Compute P(X ≤ 1 and Y ≤ 1). P(X ≤ 1 and Y≤1)=[

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. p(x, y) X 0 y 1 P(X= 1 and Y= 1) =| 0 0.10 0.05 0.02 1 0.06 0.20 0.08 2 0.05 0.14 0.30 (a) What is P(X = 1 and Y = 1)? 2 (b) Compute P(X ≤ 1 and Y ≤ 1). P(X ≤ 1 and Y≤1)=[

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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(c) Give a word description of the event { X 0 and Y = 0 }. At least one hose is in use at both islands. One hose is in use on both islands. At most one hose is in use at both islands. One hose is in use on one island. Compute the probability of this event. P(X = 0 and Y / 0) = | (d) Compute the marginal pmf of X. PX(X) Compute the marginal pmf of Y. y Py(y) 0 Using px(x), what is P(X ≤ 1)? P(X ≤ 1) = 1 1 2 2 (e) Are X and Y independent rv's? Explain. 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). OX and Y are not independent because P(x, y) ‡ px(x) · Py(y). .
Transcribed Image Text:(c) Give a word description of the event { X 0 and Y = 0 }. At least one hose is in use at both islands. One hose is in use on both islands. At most one hose is in use at both islands. One hose is in use on one island. Compute the probability of this event. P(X = 0 and Y / 0) = | (d) Compute the marginal pmf of X. PX(X) Compute the marginal pmf of Y. y Py(y) 0 Using px(x), what is P(X ≤ 1)? P(X ≤ 1) = 1 1 2 2 (e) Are X and Y independent rv's? Explain. 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). OX and Y are not independent because P(x, y) ‡ px(x) · Py(y). .
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. p(x, y) X 0 2 y 1 0 0.10 0.05 0.02 1 0.06 0.20 0.08 0.05 0.14 0.30 (a) What is P(X = 1 and Y = 1) ? P(X = 1 and Y = 1) = 2 (b) Compute P(X ≤ 1 and Y ≤ 1) . P(X ≤ 1 and Y ≤ 1)
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. p(x, y) X 0 2 y 1 0 0.10 0.05 0.02 1 0.06 0.20 0.08 0.05 0.14 0.30 (a) What is P(X = 1 and Y = 1) ? P(X = 1 and Y = 1) = 2 (b) Compute P(X ≤ 1 and Y ≤ 1) . P(X ≤ 1 and Y ≤ 1)
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