a) In 1986, the US Space Shuttle Challenger tragically exploded in flight.This accident was caused by the catastrophic failure of rubber 'O-ring'seals that linked segments of the rocket boosters together. There weresix O-ring seals in Challenger (and all other Space Shuttles at the time).Table 1 shows the numbers of O-ring seal failures that had occurred oneach of 23 previous Space Shuttle flights.Table 1Number of O-ring seal failuresNumber of failed O-ringsNumber of flights123416520 0 0(iii) It is suggested that an appropriate model for the number of O-ringseals that fail on a particular flight might be a binomialdistribution B(6, p). Wmodel? In your opinion, is a binomial model appropriate? Brieflyassumptions are made by using thisjustify your answer.

Answered: Image /qna-images/answer/e2ef0d23-cb27-4569-bd6e-f9e2c195d480.jpg

Answered: In 1986, the US Space Shuttle…

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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When looking at the data for graduate school admissions between men and women, it is shown that about 45% of men are admitted but only 38% of women. However, when the data is broken down by school it turns out that, within each school, the women are admitted at higher rates than the men. This could happen because I. The women apply in higher numbers to schools with lower acceptance rates. II. The women apply in higher numbers to schools with higher acceptance rates III. The men apply in higher numbers to schools with lower acceptance rates IV. The men apply in higher numbers to schools with higher acceptance rates
It has been observed that some persons who suffer renal failure, again suffer renal failure within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 55 people in the first group and this group will be administered the new drug. There are 75 people in the second group and this group will be administered a placebo. After one year, 10% of the first group has a second episode and 9% of the second group has a second episode. Conduct a hypothesis test to determine, at the significance level 0.01, whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode? Select the [Alternative…
Scientists have found a way to distinguish chronic-fatigue syndrome (CFS) from post-treatment Lyme disease by different proteins in a patient's spinal fluid. In a study of 4334 patients, the results to the right were found. (a) How many had the protein for Lyme only? (b) How many had the normal protein only? (c) How many had none of the proteins? 1654 had the protein for normal patients, CFS, and post-treatment Lyme disease; 1754 had the protein for CFS and Lyme; 820 had the protein for CFS only; 2660 had the protein for CFS; 1759 had the normal protein as well as the one for Lyme; 2625 had the protein for Lyme; 2648 had the normal protein. (a) There were 766 patients who only had the protein for Lyme. (Type a whole number.) (b) There were patients who only had the normal protein. (Type a whole number.)
In the city of AZ, there are two supermarkets, X-Mart and Y-Mart. It is assumed that every shopper makes a purchase once a week at one of these supermarkets (not both).In a study, 100 samples of shoppers were taken over 10 weeks. From the study, it is known that if a shopper goes to X-Mart in one week, 85 people will continue to shop at X-Mart in the following week, and if a shopper goes to Y-Mart in one week, 70 people will continue to shop at Y-Mart in the following week.Create a transition probability table and matrix for this scenario, and then If in the first week Ivankov buys from X-Mart, what is the probability that Terry will buy from X-Mart in the third and fourth weeks?
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Consider an outbreak of shigellosis in which 18 persons in 18 different households all became ill. If the population of the community was 1,000. One incubation period later, 17 persons in the same households as these "primary" cases developed shigellosis. If the 18 households included 86 persons, the overall attack rate and secondary attack rate are Overall (primary) attack rate is 25% and secondary attack rate is 18% Overall (primary) attack rate is 18% and secondary attack rate is 28% Overall (primary) attack rate is 20% and secondary attack rate is 25% Overall (primary) attack rate is 18% and secondary attack rate is 28% Overall (primary) attack rate is 18% and secondary attack rate is 25%
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It has been observed that some persons who suffer colitis, again suffer colitis within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 170 people in the first group and this group will be administered the new drug. There are 132 people in the second group and this group wil be administered a placebo. After one year, 14% of the first group has a second episode and 18% of the second group has a second episode. What is a 90% confidence interval for the difference in true proportion of the two groups/
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This weekend, Premier League officials will be conducting urine tests for all players who are participating in Premier League matches. The tests are being carried out as part of the league's ongoing efforts to combat the use of performance-enhancing drugs and other banned substances. The urine samples will be collected before and after the matches, and will be analysed by a World Anti-Doping Agency (WADA)-accredited laboratory to detect any traces of banned substances in the players' systems. Suppose 3% of the players will use banned substances. Let X be the number of players that officials need to test to find the first case of using banned substances. Let Y be the number of players tested to find 3 such cases. (a) Name the probability distribution and specify the value of any parameter(s) for each of the two random variables X and Y. (b) What is the probability that at least 5 players are to be tested to find the first using-banned-substances case? (c) What is the probability that…

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