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? 2 diodes What is the standard deviation of the number that are expected to fail? (Round your answer to three decimal places.) 1.407 diodes (b) What is the (approximate) probability that at least six diodes will fail on a randomly selected board? (Round your answer to three decimal places.) 0.016 (c) If five boards are shipped to a particular customer, how likely 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.) 0.00144 You may need to use the appropriate table in the Appendix of Tables to answer this question.

MATLAB: An Introduction with Applications
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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?
2
diodes
What is the standard deviation of the number that are expected to fail? (Round your answer to three decimal places.)
1.407
diodes
(b) What is the (approximate) probability that at least six diodes will fail on a randomly selected board? (Round your
answer to three decimal places.)
0.016
(c) If five boards are shipped to a particular customer, how likely 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.)
0.00144
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text: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? 2 diodes What is the standard deviation of the number that are expected to fail? (Round your answer to three decimal places.) 1.407 diodes (b) What is the (approximate) probability that at least six diodes will fail on a randomly selected board? (Round your answer to three decimal places.) 0.016 (c) If five boards are shipped to a particular customer, how likely 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.) 0.00144 You may need to use the appropriate table in the Appendix of Tables to answer this question.
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