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An automatic doorbell system rings a bell whenever it detects someone by the door. The system uses a photodetector such that if a person is present, hypothesis H1, the photodetector output N is a Poisson random variable with an expected value of 1,300 photons. Otherwise; if no one is there, hypothesis H0, the photodetector output is a Poisson random variable with an expected value of 1,000. Devise a Neyman-Pearson test for the presence of someone outside the door such that the false alarm probability is α ≤ 10-6. What is minimum value of PMISS?
approximately 30 of obese patients develop diabetes. if a physician sees 10 patients who are obesea what is the
telephone calls enter a switchboard at a rate of 3 calls per minute. assume that any given no more than one call will
Investigators followed a population of 2,000 women aged over 65 years who did not have osteoporosis, over a 10-year period and measured the number of cases of osteoporosis diagnosed during that time-period. The investigators were interested in the ef..
A civil service exam is given to 200 job applicants. In recent years, grades have followed a normal distribution with mean 66.5 and variance 100. The grades of the job applicants are distributed as follows:
Fast Service Truck Lines uses the Ford Super Duty F-750 exclusively. Management made a study of the maintenance costs and determined the number of miles traveled during the year followed the normal distribution. The mean of the distribution was 60..
Compute the effect size with gender as the grouping variable and ADDSC as the dependent variable.
thickness measurements of a coating process are made to the nearest hundredth of a millimeter. the thickness
During the early stages of production for a single-cylinder engine designed for use in portable gen- erators, the manufacturer randomly selects 12 engines from the end of the assembly line and subjects them to a battery of tests.
the density function of the random variable x is given byfxx 12 for -1ltxlt1 0 otherwisedetermine the moment
six people suffering from weight problems are put on a year-long exercise regimen and their weights before and
suppose there are three bills in a wallet. one of thebills is a 1 one is a 5 and one is a 10 bill. you selecttwo bills
Further, 20 students get both questions 1 and 2 incorrect, 15 get both questions 2 and 3 incorrect, and 8 get both questions 1 and 3 incorrect, and 7 get all three questions incorrect. Find the probability that a randomly selected student: a) Gets..
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