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Use the Gauss-Seidel method without relaxation to solve the following system to a tolerance of error = 5%. If necessary, rearrange the equations to achieve convergence.
2x(1) - 6x(2) - x(3) =-38-3x(1) - x(2) + 7x(3) = -34-8x(1)+ x(2) - 2x(3) = -20
At a = 0.05, what is the test value?
The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate office. Its probability distribution is as follows.
Kannon Camera has developed a new camera that it claims can take an average of more than 10 photographs per second. You decide to evaluate the company's claim.
There are two telephone lines A and B. Let E1 be the event that line A is being used and E2 be the event that line B is being used
what is the post-test probability of disease being present in a patient with a positive test result for test A if a cutoff value of 4.0 mg/ml is chosen?
1.a researcher wished to compare the average amount of time spent in extracurricular activities by high school students
All welders in a factory begin as apprentices. Every year the performance of each apprentice is reviewed. Past records indicate that after each review, 10% of the apprentices are promoted to professional welder
Suppose that a random requisition is found to have been incorrectly entered. What is the probability that it was processed by data entry specialist 1? By data entry specialist 2? By data entry specialist 3?
Specify the null and alternative hypotheses you would use to determine if the opinions of Internet users are evenly divided among the four categories.
The number of false alarms a building fire alarm system registers has a Poisson distribution with a mean of 6 false alarms per year. The variance of the number of false alarms is what?
Five percent of the respondents gave $25,000 or more to charity over the previous year. Develop a 95% confidence interval for the proportion who gave $25,000 or more to charity.
joint pmf p(X1,X2)=(X1+2X2)/18, (x1,x2)=(1,1),(1,2),(2,1),(2,2), zero elsewhere. Determine the conditional mean and variance of X2, given X1=x1, for x1=1 or 2. Also compute E(3X1-2X2).
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