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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.
(a) How many diodes would you expect to fail?
What is the standard deviation of the number that are expected to fail? (Round your answer to three decimal places.)
(b) What is the (approximate) probability that at least five diodes will fail on a randomly selected board? (Round your answer to three decimal places.)
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