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A system consists of two components A and B that are connected in series. If the lifetime of A is exponentially distributed with a mean 200 hours and the lifetime of B is exponentially distributed with a mean of 400 hours, what is the PDF of X, the time until the system fails?
What is the probability that the distance between the poles is between 45 and 55 meters? Write a Solution Trail for this problem.
It is estimated that 93 % of senior citizens suffer from sleep disorders and 8 % suffer from anxiety. Moreover, 6 % of senior citizens suffer from both sleep disorders and anxiety.
Construct a scatter plot of the unemployment rate versus inflation rate for the period 2000 through 2005. Describe the relationship that appears to exist.
Read each of the following problems carefully before constructing the fraction and solving for the answer. a. What percentage of social science majors are male?
Test for the normality of the data Do the IQs of students at the school run above the national average at α = 0.01?
Design a calculator simulation to estimate the probability described in (a). Describe your simulation method clearly enough so that a classmate could carry it out without further explanation from you.
Engineers at a tire manufacturing corporation wish to test a new tire material for increased durability. To test the tires under realistic road conditions.
Find a stable matching A between the universities and the applicants that is preferred by all the applicants to any other stable matching.
Find the 90% confidence interval of the true mean weight of all college wrestlers. If a coach claimed that the average weight of the wrestlers on the team was 310, would the claim be believable?
Use the binomial distribution to determine the probability that a student will get at least 8 out of 10 questions on a ten question multiple choice test correct by just guessing if each question has four
a. Interpret the meaning of the 95% confidence interval for difference in mean response time. b. Is it likely that game players and non-game players are basically the same in response time? Why or why not? If not which group is faster (with smaller..
In Paragraph form, describe the causes of the American Revolution, tracing the roots of the war as far back as possible.
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