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 Xa appears in the accompanying tabulation. P(x. Y) 1 2 0.10 0.03 0.02 1 0.07 0.20 0.07 0.06 0.14 0.31 (a) Given that X- 1, determine the conditional pmf of Y-L.e., PYx(011), PYx(1|1), PYLX(2|1). (Round your answers to four decimal places.) 2 (b) Given that two hoses are in use at the self-service island, what is the conditional pmf of the number of hoses in use on the full-service island? (Round your answers to four decimal places.) PYxV12) (c) Use the result of part (b) to calculate the conditional probability P(Y S1|X- 2). (Round your answer to four decimal places.) P(Y S1|X- 2) -
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 Xa appears in the accompanying tabulation. P(x. Y) 1 2 0.10 0.03 0.02 1 0.07 0.20 0.07 0.06 0.14 0.31 (a) Given that X- 1, determine the conditional pmf of Y-L.e., PYx(011), PYx(1|1), PYLX(2|1). (Round your answers to four decimal places.) 2 (b) Given that two hoses are in use at the self-service island, what is the conditional pmf of the number of hoses in use on the full-service island? (Round your answers to four decimal places.) PYxV12) (c) Use the result of part (b) to calculate the conditional probability P(Y S1|X- 2). (Round your answer to four decimal places.) P(Y S1|X- 2) -
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 12E
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