Problem 5 (15 points): The vaccine can be purified by one of three different machines: MachineA, Machine B, or Machine C. The probability of a defect if Machine A is used is 0.009. Theprobability of a defect if Machine B is used is 0.002. The probability of a defect if Machine C isused is 0.06.Of 1500 products sampled, 300 were processed on Machine A, 700 were processed on MachineB, and the remainder on Machine C.1) What is the probability of producing a defect at the purification step?

Given that, The vaccine can be purified by one of three different machines: Machine A, Machine B, or…

Answered: Problem 5 (15 points): The vaccine can…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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QUESTION 6 Assume that babies are equally likely to be boys (B) or girls (G). Assume a woman has 4 children. Which sequence is more likely? Sequence A: GGGG or Sequence B: GBGB Sequence A Sequence B Neither. They are both equally likely. None of the above. QUESTION 7 According to the text, the standard recommendation is to perform at least how many trials of a simulation? O 10 O 25 O 100 O 1000 QUESTION 8 The Law of Large Numbers tells us that if an experiment with a random outcome is repeated a large number of times... the empirical probability of an event is likely to be close to the true probability. the theoretical probability of an event is likely to be close to the true probability.
DO QUESTION 7 AND 8 ONLY A new study to determine the effectiveness of winter flu vaccinations measures the benefits of a flu shot for school children. The study comprises two random samples of school children who were vaccinated. One sample is from a primary school and the other from a high school. Question 1 According to previous studies, 50% of vaccinated primary school children contract winter flu. If a study takes a random sample of 18 vaccinated primary school children, the probability that less than 4 children in the sample contract flu is 0.0038 0.0117 0.0154 0.6439 Question 2 For the random sample in Question 1, the probability that at least 4 children but no more than 8 children contract flu is 0.0154 0.2366 0.4035 0.5713 Question 3 The new study claims that the probability of contracting the winter flu among vaccinated high school children is less than 0.5. Assume that p is the population proportion of vaccinated high school children who contract the flu. The…
Problem 9. You have a revolver that holds up to five bullets and a revolver that holds up to eight bullets. You simultaneously pull each gun's trigger and then randomize the position of the bullets by spinning the cylinders. You repeat this until each gun fires at least one time. a. What is the expected number of trials for both guns to fire? b. Suppose instead that you simultaneously pull the triggers until a gun fires. Now, what is the expected number of trials?
Problem 14: Suppose that the checkout time at a grocery store is an exponential random variable with mean 4 minutes. Estimate the probability that a cheker will serve more than 77 customers during a 6 hour shift.
Problem 1.23 You play a match against an opponent in which at each point either you or he/she serves. If you serve you win the point with probability p,, but if your opponent serves you win the point with probability p2. There are two possible conventions for serving: (i) alternate serves; (ii) the player serving continues until he/she loses a point. You serve first and the first player to reach n points wins the match. Show that your probability of winning the match does not depend on the serving convention adopted.
Suppose that a group of illegal counterfeiters print 1,000 copies of fake $20 bills and introduces them into the economy. Suppose that each bill is used once per week (starting in week 1), and that each time a bill is used, it has a 1 in 5 chance of being detected as fake. If it is detected, it is removed. If not, it is used again. Suppose now that instead of using a new detection tool starting in week 3, suppose we started using it right away at the beginning of week 1. If we wanted the total expected number of transactions with the 1,000 fake bills to be at most 1,700 then what percentage would we need to detect at each transaction? Write your final answer as a percentage, and round to 2 decimal points.
QUESTION 5 An experiment was conducted to evaluate the effectiveness of a treatment for tapeworm in the stomachs of sheep. A random sample of 60 worm-infected lambs of approximately the same age and health was randomly divided into two groups. Thirty of the lambs were injected with the drug and the remaining thirty were left untreated. After a 6-month period, the lambs were slaughtered and the number of worms in the lamb of the stomach were counted. The drug-treated sheep had a mean of 24.67 worms with a standard deviation of 13.78. The untreated sheep had a mean of 37.82 worms with a standard deviation of 18.21. Assuming the true variances cannot be assumed equivalent, which of the following would be the correct way to calculate a t test for a two-tailed hypothesis test? OA. 24.67-37.82 O B. о с. t ¹0= 13.78 18.21 30 30 24.67-37.82 + (13.78) 2 30 + 24.67-37.82 + (18.21) ² 30 13.78 18.21 60 60 + 24.67-37.82 (13.78) 2 60 (18.21) 2 60
Working problem 4.11: A survey of a random sample of 250 students at the Evergreen college revealed the following majors: INumber of students Major Business Engineering Environmental science Nursing Total 67 61 47 75 250 Suppose we select a student and observe his/her major. - What is the chance that the student will be a nursing major? - What is the chance that the student will be an engineering major? - What is the chance that the student will not be an envi ronmental science major? 26
YOU are in charge of a new products being launched by "Incredible Circuits". Mr. Eleck Trikal, C.E.O. of the company, has seen the need to calculate the Reliability of his new product after 10, 20, 30, and 50 hours of use. This new product is basically made with four components: A B, C, and D; and its design is included below: BAB As a good manufacturing engineer, you take 10 samples for each component, and test them until failure. The following are the times obtained: COMPONENT A: 8, 9, 18, 28, 35+, 43+, 59+, 65, 75, and 78 (+ means censoring) COMPONENT B: 8, 17+, 22, 29, 35, 39, 49+, 55, 59+, and 78 (+ means censoring) COMPONENT C: 2, 23, 24, 35+, 53, 55, 62+, 66+, 76, and 83 (+ means censoring) COMPONENT D: 3, 18, 24, 35, 38, 49, 58, 59, 66, and 79 (no censoring)
Please help me fix problem D,E,F, Thank you!
Part 3

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