In proof testing of circuit boards, the probability that any particular diode wi

Question

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? diodes What is the standard deviation of the number that are expected to fall? (Round your answer to three decimal places.) 1.41 x diodes (b) What is the (approximate) probability that et least six diodes will fail on a randomly selected board? (Round your answer to three decirnal places.) 017 (c) If flve boards are shipped to a particular customer, how llkely is it that at least four of them will work properly? (A board works properly only if all its diodes work. Round your answer to four decimal places.) 0015

Explanation / Answer

Given : p = 0.01

n = 200

Standard deviation

= (np(1-p))

= (0.01 * 200 * 0.99)

= 1.98

= 1.407.

Note: The question asks to round to THREE decimal places.

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