5. [-/10 Points] DETAILS DEVORESTAT9 5.1.018. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 0.05 0.01 x 1 0.06 0.20 0.08 2 0.06 0.14 0.30 (a) Given that X = 1, determine the conditional pmf of Yi.e., Py|x(0|1), Py|x(1|1), Py|x(2|1). (Round your answers to four decimal places.) y Prix (v1) 1 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.) y Pxx(x12) 0 1 2 (c) Use the result of part (b) to calculate the conditional probability P(Y1 | X = 2). (Round your answer to four decimal places.) P(Y 1 | X = 2)= | (d) Given that two hoses are in use at the full-service island, what is the conditional pmf of the number in use at the self-service island? (Round your answers to four decimal places.) Px|x(x2) 1 2 Need Help? Read It Watch It