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Suppose that, in flight, airplane engines will fail (i.e. break down) with probability 1 - p, independently from engine to engine. An airplane needs a majority of its engines operative to complete a successful flight. (Note 1: a majority of engines operative means that more engines are working than not working; Note 2: if 1 - p is the probability of an engine failing, then p is the probability that the engine is working.) a) If p = 4/5, what is the prob ability that a 3 - engine plane will complete a successful flight? b) If p = 2/3, what is the probability that a 5 - engine plane will complete a successful flight? c) What is the standard deviation of the number of working engines for a 5 - engine plane? d) Suppose the factory which manufactures the engines has undergone upgrades to improve their engines. With the upgrades engine failures only occur in 1 out of 400 engines. There are 275 newly manufactured engines waiting to be shipped. Write out the expression (do n ot solve) to find the probability that 1 or 2 of these new engines will fail. e) Is there an appropriate approximation that can be used to det ermine the probability in part d )? Explain why or why not and then use that approximation to find this probability
According to a national survey of 1,500 Silverman Sachs customers, 1,050 of them were either satisfied or very satisfied with their financial advisor.
Find a 95% confidence interval for the difference in the proportion of deaths between the streptokinase and the control group.
How large a sample is required to estimate the actual proportion within a range of plus and minus 0.04? Use the 98 percent level of confidence. How is the z value found on the table?
Iindependently of one another. Two hundred seeds of such a cross are raised, and 142 turn out to be blue-flowering. Are the data consistent with the model?
A student scores 91 on the midterm exam for physics. Assume the class scores are normally distributed, with a mean of 65 and standard deviation of 15. Into what percentile does this student fall?
I never understood the concept of the Empirical Rule and Chebyshev's Rule. Can you explain it to me and provide me with some sample problems please?
Make for more scatter plots comparing GDP growth 1970-2000 to corruption, political rights, rule of law, and socio-political instability
A psychologist has developed a test to measure self-control. The test is normed so that it has a mean of 100 and a standard deviation of 15... The scores are normally distributed in the population of college students used to develop the test.
Compare and contrast the similarities and differences between the two scores and explain when and why you would use each.
In a survey about satisfaction with local phone service, those respondents who rated their current service as excellent and those who rated it Poor-Very Poor were asked to classify their current local service provider. The results are given in the..
Researchers wanted to determine if there is a difference in the mean credit card debt owed by males versus females. Using α = 0.10, is there a difference. (Show all six steps of hypothesis testing.)
What measurements assesses the amount of variance of change in the dependent variable reflected by changes in the independent variable?
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