Given a set of six data points x_1=1.6, x_2=3.3, x_3=4, x_4=1, x_5=2.8, and x_6=1.9. Find the Parzen probability density function estimate at x=2 using the Gaussian function with o=1 as the window function. * 0.2537 O 0.1495 0.6827 O 0.2055
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- Consider data 5,1,3,5,5,4,3,2 of the Poisson distribution with expectation u. We want to test H0:u=u0 with u0=2. Write the log-likelihood for the data under H0 and the likelihood ratio A(y) for testing H0Find the mean and standard deviation for each uniform continuous model. (Round "Mean" answers to 1 decimal place and "Standard deviation* answers to 4 decimal places A. U(1, 12) B. U(80, 210 C. U(4, 97The Poisson mass function is often used in biology to model the number of bacteria in a solution. Suppose a dilute suspension of bacteria is divided into several different test tubes. The number of bacteria x in a test tube has a Poisson mass function with a parameter 2 that represents the mean number of bacterial cells contained in the different test tubes. Express the probability that a particular test tube contains no bacteria, in terms of 2.
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