F) what is probability of successful system operation?
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Q: Suppose the probability of snow tomorrow is 0.1 while the probability of IU winning the basketball…
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A: Three independent components. Probability for failure for 1st component : p1=0.1 P2=0.2 P3=0.3
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A: Given, P(route 1)=0.35 P(route 2)=0.65 P(late/route 1)=0.1 P(late/route 2)=0.03
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Q: a production process has a defective rate of 2%, that is 2% of all items produced are defective. the…
A: Please find screenshot below.
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A: Given information: The proportion is 2% i.e. p=0.02. The sample size is n=500.
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A: P(Event1)=0.30, P(Event2)=0.10P(Event1 or Event2)=0.37
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Q: Suppose the probability of snow tomorrow is 0.3 while the probability of IU winning the basketball…
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Here in given system probability of each component work is given
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- Probability of taking route 1 is 30% and taking route 2 is 70%.The probability of being late to the meeting is 5% under the condition that route 1 is taken and 10% when route 2 is taken.a) Calculate the probability that he/she is late for the meeting.b) Given that he/she is late for the meeting, what is the probability that he/she used route 1?I need help with thisCoin A has a probability of head equal to 1/4 and probability of tail equal to 3/4 and coin B is a fair coin. Each coin is flipped four times. Let the random variable X denote the number of heads resulting from coin A and Y denote the resulting number of heads from coin B. (a) What is the probability that X = Y = 2 ? (b) What is the probability that X = Y ? (c) What is the probability that X > Y? (d) What is the probability that X + Y< 5?
- Suppose the probability of snow tomorrow is 0.4 while the probability of IU winning the basketball game tomorrow is 0.9. Assuming these events are independent, what is the probability that it snows and IU loses? (A) 1 (B) 0.04 (C) 0.06 (D) 0.4 (E) 0 (F) 0.54 (G) 0.36 (Н) 0.9 O B В C. O D O E OF OGSuppose the probability of winning the Powerball lottery is 0.1, while the probability of being abducted by aliens is 0.6. If these two events are independent, what is the probability of winning Powerball but not being abducted? (A) 0.06 (B) 0.54 (C) 0.04 (D) 0.6 (E) 0 (F) 0.1 (G) 1 (H) 0.36Assume the chances of failure of each component is given in Figure. What is the probability that the system would not work? .
- A nuclear reactor becomes unstable if both safety mechanisms A and B fail. The probabilities of failure are P(A) =1/300 and P(B) = 1/200. Also, if A has failed, B is then more likely to fail: P(B/A)=1/100. a) What is the probability of the reactor going unstable? b) If B has failed, what is the probability of the reactor going unstable?A manufacturing process produces, on the average, 3% defective items. The company ships 15 items in each box and wishes to guarantee no more than 1 defective item per box. If this guarantee accompanies each box, what is the probability that the box will fail to satisfy the guarantee?A company buys microchips from three suppliers I, II and III. Supplier I has a record of providing microchips that contain 10% defective; supplier a defective rate of 5% and supplier III has a defective rate of 3%. Suppose 10%, 40% and 50% of the current supply came from suppliers I, II and III, respectively. If a randomly selected microchip is defective, what is the probability that it came from supplier II? Express your answer accurate to two decimal places. O 48 O..40 O something else O 44 O 41
- first 2 parts pleaseA machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for the machine to work properly. Assume the probability of one part working does not depend on the functionality of any of the other parts. Also assume that the probabilities of the individual parts working are P(A) = P(B) = 0.95, P(C) = 0.91, and P(D) = 0.96. Find the probability that at least one of the four parts will work. Round to six decimal places.A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 7 customers per hour and an average service rate of 12 customers per hour. The probability of 2 customers in the system is : a. 0.1418 b. 0.6597 C. 0.4167 d. 0.8582
