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A binary communication system has transmitted signal X, a Bernoulli (p = 1/2) random variable. At the receiver, we observe Y = V X + W, where V is a "fading factor" and W is additive noise. Note that X, V and W are mutually independent random variables. Moreover V and W are exponential random variables with PDFs
Given the observation Y, we must guess whether X = 0 or X = 1 was transmitted. Use a binary hypothesis test to determine the rule that minimizes the probability PERR of a decoding error. For the optimum decision rule, calculate PERR.
What is the probability that a randomly selected student is either Caucasian or Black? What is the probability that the selected student is not a member of either of the two largest categories?
At a 5% level of significance, is there sufficient evidence that the population mean waiting time is now less than 3.7 minutes?
Select male or female planners to answer the following questions: Compare how well the model explains the variation of income for your selected gender? What factors have the greatest effect of the income of planners of this gender
Search the internet for examples of how categorical data is used in the workplace. As a hint, type "categorical data" followed by a topic of interest to you into the search engine.
You want to show an increase in buying and selling of single-family homes this year when compared with last year's rate.
At.05 level of significance, is there sufficient evidence to conclude that difference exists between proportion of cats and proportion of dogs which sleep more than 10 hours per day?
as of october 2009 the united states federal dept was 11963668027500. if each of the 307000000 people in the united
Find the t c for a 90% confidence level with a sample size of 18.
he standard deviation of the sample proprortion is 5.3%. How large a sample (to the nearest person) would be required to reduce this standard deviation to 3.7%?
Due to financial hardship, the Nyke shoe company feels they only need to make one size of shoes, regardless of gender or height. They have collected data on gender, shoe size.
Find the equilibrium bidding strategies for the first- and second-price auctions. Compute the expected revenue associated with each auction format.
1. the mean television viewing time for americans is 15 hours per week money november2003. suppose a sample of 60
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