Question

SU Ruge high selectivity 18. What is the probability In a bolt factory machines A, B and C manufacture respectively 30% 30%, 40 total of their output 4, 5,3 %5 are defective bolts. A bolt is drawn at random in product and is found defective. What are the probabilities that it was manufactured te respectively 30%, 30%, 40% of the . A bolt is drawn at random from the machines A, B and C? Two solid state diodes are connected in series. Each diode has a probability of 0.05 that it will tail as a short circuit and a probability of 0.1 that it will tail as an open circuit. 1 the diodes are independent, what is the probability that the series connection of diodes will function as a diode? A box of unmarked IC's contains 200 box inverters, 100 dual 4 input positive AND gates, 50 dual J-K flip-flops, 5 decade counters, and 25:4 between shift registers. If an IC is selected at random what is the probability that it is a dual J-K flip-flop?

Answer 1

Let us consider event E as that them is defective. P(A)= 3 P(B).3 P(o)=.4. is the probability of item produced by machine A, B, C. PLEA) item is defective it comes from a machine is defective. PLELA) = .04 Similarly, PLEB) = .05 PLEK) = .03 Lue need that probability of item is dejectice. PE)= P(A). P(EIA) + PCB) P(EB) + PIO PCIB) = .3x.04 + 38.05 + 4x:03 012 + 015 +.012 PCE) = 039 we need to calculate the following prob. PLAIE meas item is defective it comes from A machine, PLAIE) - 38.04 039 .3076 PIA). P(EIA) PIE) P187.PIELA) P(E) Similawley 3x.05 039 - 3846 PIBIE) = plCLE PLC 48.03 3076 P (ETC) - PE) = 039

NOTE- PLEASE SEPERATELY UPLOAD REMAINING QUESTIONS, THIS IS HOMEWORKLIB POLICY.