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Question: Derive a likelihood ratio test for the following case. Under hypothesis HI, the observation Z is Gaussian with mean m, and variance cri. Under Ho, Z is Gaussian with mean m« and variance. Find the decision regions as a function of the LRT threshold.
2. Consider the binary symmetric channel shown in Fig. E.3.1, where the transmitted symbols are 0 and 1 and the received symbols are a and
b. E represents the crossover probability [i.e., the probability that the channel output is a(b) when the input is 1(0) and is small]. Obtain a decision rule to minimize the total probability of error if the prior probability of a 1 being transmitted isp. What is the probability of error? Assume that ? <>
For each of the 50 states and Washington, D.C., a number of statistics related to education are available for 1992
When using past data, I have found that the proportion of items rejected by quality control personnel is about 3%. We normally make 5000 items per day. For a p chart, what are the upper and lower control limits?
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Test for equality of movie and commercial viewing, on average, using a two-tailed test at α = 0.05 (data in thousands):
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Do you work hard for your money? Java professionals think they do, reporting long working hours at their jobs.
q1. assume that two independent random samples of size 100 each are taken from a population that has a variance of 36.
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