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 isto.01. Suppose a circuit board contains 230 diodes. (a) How many diodes would you expect to fail? What is the standard deviation of the number that are expected to fail? 151 (b) What is the (approximate) probability that at least four diodes will fail on a randomly selected board? (Use binomial approximation.) 02 itf five boards are shipped to a particular customer, ho likely is it that at least four of them will work property? (A board works properly only if all its d 0000687 Need Help?

Explanation / Answer

Solution:

For working of atleast 4 out of five= four works probability + all 5 works probability

=>230* P = 5C4 * (P(a board to work))^4 (P(a board to fail)) + (1)(P(board to work))^5

=> 230*P = 5 * (1-0.01)^4 ( 0.01) + (1-0.01)^5

=> 230*P = 0.0480298005 + 0.9509900499

=> 230*P = 0.009990198

=>P = 0.004343

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