THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
The following table displays the joint probability distribution of two discrete random variables X and Y. 
-Compute the expected value for Y.
Definitions:
Input Module Circuit
A part of PLC systems designed to read and process incoming signals from various sensors before feeding them into the control logic.
Voltmeter
An instrument for measuring electric potential differences in volts between two points in an electric circuit.
24 VDC
A reference to a 24-volt direct current power supply, commonly used in industrial control systems and electronics.
Commissioning
The process of verifying and bringing systems, especially in building or industrial contexts, into operational status following installation to ensure they function according to design specifications.
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