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1-9.2 An electronic manufacturer uses four different types of IC\'s inmanufactur

ID: 2913801 • Letter: 1

Question

1-9.2
An 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.

C. If a particular device does not work, determine the probabilitythat only flip flops are bad.

Answer: 0.3001

Explanation / Answer

P(Device work) = 0.95 x 0.9 x 0.97 x 0.88 = 0.729828 P(Device not work) = 1 - P(Device work) = 1 - 0.729828 = 0.2702 P(Only flip flops are bad | Device not work) = (0.95 x 0.1 x 0.97 x0.88) / 0.2702 = 0.30012 Hope this helps!