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Mathematics, 20.03.2020 02:58 iceyburh

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. (Give answers to 2 decimal places.)

y
p(x, y) 0 1 2
x 0 0.10 0.03 0.01
1 0.08 0.20 0.06
2 0.05 0.14 0.33

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?

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