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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 ? <>
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
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MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
Caselet on McDonald’s vs. Burger King - Waiting time
Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.
Problems on Sampling Variability and Standard Error and Confidence Intervals
Estimate the population mean
Conduct a marketing experiment in which students are to taste one of two different brands of soft drink
Find out the probability
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