1-9.2 An electronic manufacturer uses four different types of IC\'s inmanufactur
ID: 2913715 • Letter: 1
Question
1-9.2An electronic manufacturer uses four different types of IC's inmanufacturing a particular device. The NAND gates (designated as Gif good and G' if bad) have a probability of 0.05 of being bad. Theflip flops (F and F') have a probability of 0.1 of being bad,the counters (C and C') have a probability of 0.03 of being bad,and the shift registers (S and S') have a probability of 0.12 ofbeing bad.
A. Write all of the elements in the product space.
B. Determine the probability that the manufactured device willwork.
C. If a particular device does not work, determine the probabilitythat both the flip flops and the counters are bad.
D. If a particular device does not work, determine the probabilitythat both the flip flops and the counters are bad.
Explanation / Answer
S = {(G,F,C,S), (G', F',C',S'),.....} (There are 24 possibilities,list out all one) P(device work) = 0.95 x 0.97 x 0.9 x 0.88 = 0.7298 P(device does not work) = 1 - 0.7298 = 0.2702 P(flip flops and counter are bad | Does not work) = (0.95 x 0.03 x0.1 x 0.88)/0.2702 = 0.00928 Hope this helps!
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