3. suppose that the manufacturer keeps a spare machine that only is used when the primary machine is beingrepaired. During a repair day, the spare machine has a probability of 0.1 of breaking down, in which case it isrepaired the next day. Denote the state of the system by (x, y), where x and y, respectively, take on the values1 or 0 depending upon whether the primary machine (x) and the spare machine (y) are operational (value of1) or not operational (value of 0) at the end of the day. [Hint: Note that (0, 0) is not a possible state.](a) Construct the (one-step) transition matrix for this Markov chain.(b) Find the expected recurrence time for the state (1, 0).

(a) The possible states of the system are (1, 1), (1, 0), and (0, 1). (0, 0) is not possible since…

Answered: suppose that the manufacturer keeps a…

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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A medical researcher claims that the proportion of patients receiving 200 mg of a newly-developed influenza vaccine who go on to contract influenza strain X is less than the proportion of patients receiving 200 mg of last year's influenza vaccine who contract influenza strain X. Of 320 patients who are given last year's vaccine, 114 contract influenza strain X. Of 350 patients who are given the new vaccine, 112 of them contract influenza strain X. Let PN be the proportion of patients receiving the newly-developed vaccine and pL be the proportion of patients receiving last year's vaccine. State the null and alternative hypotheses and the value of the test statistic. Ho: PN =PL versus HA: PN > PL; Test statistic: Z = 0.99 Ho: PN=PL versus HA: PN > PL; Test statistic: Z = 1.55 Ho: PN-PL versus HA: PN PL; Test statistic: Z= 1.55 Ho: PN-PL versus HA: PN PL; Test statistic: Z= 0.99
For a parallel structure of identical components, the system can succeed if at least one of the components succeeds. Assume that components fail independently of each other and that each component has a 0.09 probability of failure. Complete parts (a) through (c) below. T.... (a) Would it be unusual to observe one component fail? Two components? be unusual to observe one component fail, since the probability that one component fails, than 0.05. It be unusual to observe two components fail, since the probability that two components fail,, is than 0.05. (Type integers or decimals. Do not round.) (b) What is the probability that a parallel structure with 2 identical components will succeed? (Round to four decimal places as needed.) (c) How many components would be needed in the structure so that the probability the system will succeed is greater than 0.9998? (Type a whole number.) O Time Remaining: 02:29:14 Next Left Raht
Suppose Aaron recently purchased an electric car. The person who sold him his new car told him that he could consistently travel 200 mi before having to recharge the car's battery. Aaron began to believe that the car traveled even farther than the company claimed, and he decided to test this hypothesis formally. Aaron drove his car only to work and he recorded the number of miles that his new car traveled before he had to recharge its battery a total of 17 separate times. The table shows the summary of his results. Assume his investigation satisfies all conditions for a one-sample t-test. Mean miles traveled Sample size t-statistic P-value P 207 17 1.48 0.079 The results statistically significant at a = 0.01 because P 0.01. are are not V
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Hydroxychloroquine is a drug sometimes used to treat malaria or rheumatoid arthritis. This drug has recently received some notoriety as a possible treatment for those suffering from Covid-19. A hydroxychloroquine tablet comes in a 200 mg strength, but hydroxychloroquine dosage may be anywhere from 200 to 1200 mg. Thus, a patient must take multiple pills. Suppose X is the number of pills taken by a randomly selected hydroxychloroquine patient. Then according to JJSDA, x has the following probability mass function, p(x), and cumulative distribution function F(x). 1 2 4 p(x) .04 .27 .35 .10 07 F(x) .04 .31 a .83 .93 1 a. If F is the cumulative distribution function of x, then what is the value of a? b. If p is the probability mass function for x, then evaluate b. c. What is the expected value of x? d. Calculate the variance of x. e. What is the variance of 0.7*x? f. The CDC 'randomly' checks the dosage of 10 hydroxychloroquine patients. What is the probability that exactly 4 of the…
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the second photo is an example of resolution

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