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Under H0 , a random variable has the cumulative distribution function F0 (x) = x2 , 0 ≤ x ≤ 1; and under H1 it has the cumulative distribution function F1(x) = x3, 0 ≤ x ≤ 1.
(a) If the two hypotheses have equal prior probability, for what values of x is the posterior probability of H0 greater than that of H1?(b) What is the form of the likelihood ratio test of H0 versus H1?(c) What is the rejection region of a level α test?(d) What is the power of the test?
boolean algebric mulitiple choice question
A buoy oscillates in simple harmonic motion y = A cos omega(t) The buoy moves a total of 3.5 feet (vertically) from its low point to its high point. It returns to its high point every 10 seconds.
Find the Euler's method to determine the first three approximations to the given initial value problem
Sheila has 25/72 ounces of gold. Bill has 7/30 ounces of gold. How much must Kelly have so that they have a combined 1 full ounce of gold?
Solve the recurrence relation a(n)=3a(n-1)+10a(n-2) with the initial conditions a(0)=0 and a(1)=2. Solve the recurrence relation a(n)=3a(n-1)+10a(n-2) +12 with the initial conditions a(0)=0 and a(1)=2.
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Park rangers catch, tag, and then release 140 elk back into a national park. One month later, they select a sample of 130 elk, 91 of which are tagged. Assuming the ratio of tagged elk in the sample holds for all elk in the park, approximately how ..
Problem solving on linear programming
Let h(sub n) denote the number of ways to perfectly cover a 1 by n board with monominoes and dominoes in such a way that no two dominoes are consecutive.
Please explain how to find the equations of the tangent line and the normal line to the graph of the equation at the indicated point and achieve the specified answer.
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