In a certain four-engine vintage aircraft, now quite unreliable, each engine has a 15% chance of failure on any flight, as long as it iscarrying its one-fourth share of the load. But if one engine fails, then the chance of failure increases to 30% for each of the otherthree engines. And if a second engine fails, each of the remaining two has a 45% chance of failure. Assuming that no two enginesever fail simultaneously, and that the aircraft can continue flying with as few as two operating engines, find the probability for noengine failures.

we can use the concept of conditional probability and the law of total probability. Let's break…

Answered: Hain four-engine vintage aircraft, now…

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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Answer the following questions based on the attached MINITAB output Y= Purchased car during the year (yes/no) X1= Family Yearly Income (in thousands) X2= Age of oldest family automobile a) suppose that a family owns a sigle car that is 3 years old and has income of $45000 per year. Provide a statement estimating the chance they'll buy a new car this year. b) Another model using 5 additional variables produced these numbers. WHich models would you choose and why? Deviance Devicance R-sq R-sq (adj) AIC 19.44% 13.98% 40.69 e) Draw whatever concludions seem appropriate about the impact of the age of the families oldest car. Include in your comments any reccomendation for further study that might be appropriate.
1. Zombies have appeared in Chicago and every day, each zombie produces 3 new zombies. Suppose that initially there is only one zombie, how many zombies will there be in 7 days? 2. In a rabbit population, each pair produces 2.2 offspring every year (i.e. 1.1 per capita) and the adults have a 0.9 annual death rate after reproduction (and assume the whole population is paired up into mating pairs.) If initially there are 55 rabbits, predict how many there will be in 5 years (rounded to the nearest integer). 3. Consider the same rabbit population, but now a python that lives nearby eats exactly 1 rabbit a month. If initially there are 55 rabbits, how many do you predict will be in 10 years?
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.
SECTION 5.4 Drug usage in the workplace costs employers incredible amounts of money each year. Drug testing potential employees have become so prevalent that drug users are finding it extremely hard to find jobs. Drug tests, however, are not completely reliable. To decrease the likelihood of making an error, all potential employees are screened through two tests, which are independent. One test has a 96% accuracy and the other has a 97% accuracy. Step 2 of 2 : If a person were a drug user, what is the probability they would pass both tests? Round your answer to four decimal places, if necessary.
9 Question 4 A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every bag contains exactly the same weight. But if more than 16% of bags are over-filled then they stop production to fix the machine. They define over-filled to be more than 1 ounce above the weight on the package. The engineer weighs 129 bags and finds that 27 of them are over-filled. He plans to test the hypotheses Ho: p = 0.16 versus H:p> 0.16. What is the test statistic? Z = (Please round your answer to two decimal places if necessary.)
Question 7 Bodaboda riders are more likely to be murdered on the job than the drivers of any other public transport like Taxicab, Uber, and Bolt, among others. The annual murder rate for Bodaboda drivers is 30.0 deaths per 100000 riders, compared to just 0.6 per 100,000 for all other public transport providers. Assume that one company offering Bodaboda transport employs a total of 300 riders and that the family of any rider murdered on the job receives Tshs. 1000,000 from the company. Required: a) What is the probability that at least two of the Bodaboda riders will be murdered on the job during the next year? b) What is the approximate expected value for the amount of money the company will be providing to families of murdered riders during the next year?
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…
Please answer Part A, C and D
Choose the correct answer
1
a. A researcher studied the effect of social influence on drinking behaviour. Sixty people were randomly assigned to one of three conditions where they were given a soft drink to consume while waiting for the experiment to supposedly begin. An experimental assistant, posing as another participant, was also given a drink. In one condition, the assistant sipped the drink at a faster rate than the research participant; in another condition, the assistant sipped the drink at the same rate as the participant; and in the last condition, the assistant sipped the drink at a slower rate than the participant. The time it took each participant to consume his or her drink was measured.
In an article published in 2012 at Telegraph.co.uk, Warranty Direct gave engine failure rates for a variety of car brands based on their database of UK direct consumer warranties. The following are known: ● Hondas failed at a rate of 1 in 344. ● Fords failed at a rate of 1 in 80. ● Audis failed at a rate of 1 in 27. Suppose Hondas account for 20% of sales at a particular dealer, Audis 30%, and Fords 50%. Assuming the engine failure rates apply to these vehicles. Determine the probability that a randomly selected vehicle from this dealer will experience engine failure.

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