Question: A system is made up of two components, A and B, connected in parallel. Let X take the value 1 or 0 if component A

A system is made up of two components, A and B, connected in parallel. Let X take the value 1 or 0 if component A works or not, and Y take the value 1 or 0 if component B works or not. From the repair history of the system it is known that the conditional PMFs of Y given X = 0 and X = 1 are

0 y 1 Pyx-0) 0.01 0.99 PYX-1) 0.01 0.99

Are X and Y independent?

0 y 1 Pyx-0) 0.01 0.99 PYX-1) 0.01 0.99

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