F) what is probability of successful system operation?
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A: Given : n = 3000 p = 0.001
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A: Introduction :- We are given a problem of Markov chain. We have to, A. State the transfer matrix…
Q: Suppose the probability of snow tomorrow is 0.1 while the probability of IU winning the basketball…
A: In question, Given that probability of snow tomorrow is 0.1 and probability of IU winning the…
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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: X~B6,0.3Y~B5,0.2
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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: Given that, P(A) =P(B) =P(C) =1/4 P(A.B) =0, P(A.C) =P(B.C) =1/16 We have to find that at least one…
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A: Mean(λ)=520100000×568=2.9536
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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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- 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 OG
- Suppose 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) 0.36A 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 41first 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.