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In a ternary amplitude shift keying (ASK) communications system, there are three equally likely transmitted signals {s0,s1,s2}. These signals are distinguished by their amplitudes such that if signal si is transmitted, then the receiver output will be
Where a is a positive constant and N is a Gaussian (0, σN ) random variable. Based on the output X, the receiver must decode which symbol si was transmitted. What are the acceptance sets Ai for the hypotheses Hi that si was transmitted?
if 95 and 98 confidence intervals were developed to estimate the true cost of an mp3 player with a known population
Let x1, ..., xn be a random sample from an exponential distribution, X ~ EXP(theta) a) If x(bar) = 17.9 with n = 50, then find a one-sided lower 95% confidence limit for theta.
Research has shown that losing even one night's sleep can have a significant effect on performance of complex tasks such as problem solving ( Linde & Bergstroem, 1992).
assume the 67 of the cars on a particular freeway are traveling faster than 70 miles per hour. a random sample of 15
Explain with the help of a text or personal example, the use and application of Bayes' approach. Briefly, what is the history of Bayesian statistics
Suppose that the sales manager of a large automotive parts distributor wants to estimate as early as April the total annual sales of a region. On the basis of regional sales, the total sales for the company can also be estimated.
Show that Q3 is an unbiased estimator for q and if Q1 and Q2 are independent, how should the constant a be chosen in order to minimize the variance of Q3?
Two thousand two hundred frequent business travelers are asked which midwestern city they prefer: Indianapolis, Saint Louis, Chicago, or Milwaukee. 112 liked Indianapolis best, 452 liked Saint Louis, 1295 liked Chicago, and the remainder preferred..
What two assumptions must be met when you are using the z test to test differences between two means? Can the sample standard deviations s1 and s2 be used in place of the population standard deviations σ1 and σ2?
a statistics professor works tirelessly to catch students cheating on his exams. he has particular routes for his
A social psychologist is studying college students attitudes toward drinking and driving. He is specifically interested in attitude change as a result of years in college and of viewing the consequences of drinking and driving accidents.
suppose a manufacturing company makes a certain item. the time to produce each item is normally distributed around a
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