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In proof testing of circuit boards, the probability that any particular diode will fail is 0.01. Suppose a circuit board contains 200 diodes. What is the expected number of diodes that will fail?

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Final answer:

The expected number of diodes that will fail in the circuit board is 2.

Step-by-step explanation:

To find the expected number of diodes that will fail, we can multiply the probability of a diode failing by the total number of diodes. In this case, the probability of a diode failing is 0.01, and there are 200 diodes in the circuit board. So, the expected number of diodes that will fail is:

Expected number of diodes that will fail = Probability of failure x Total number of diodes

Expected number of diodes that will fail = 0.01 x 200 = 2

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