Question: A sensor network has 50 sensors, and each sensor has two sets of power systems, each of which is composed of two batteries arranged serially.

A sensor network has 50 sensors, and each sensor has two sets of power systems, each of which is composed of two batteries arranged serially. For a sensor to work properly, at least one of its power systems needs to work. For a power system to work, both batteries have to work. Suppose that out of the total 200 batteries, 40 of them fail at random after 2 years of operation. What is the expected number of sensors that are functioning properly

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