# Question: Let X have the pdf

Let X have the pdf

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Let X1, X2 be a random sample from the Cauchy distribution with pdf Consider the non-informative prior h(θ1, θ2) ∝ 1 on that support. Obtain the posterior pdf (except for constants) of θ1, θ2 if x1 = 3 and x2 = 7. For ...A random sample of size 8 from N(μ, 72) yielded = 85. Find the following confidence intervals for μ: (a) 99%. (b) 95%. (c) 90%. (d) 80%. Let X1, X2, . . . , X5 be a random sample of SAT mathematics scores, assumed to be N(μX, σ2), and let Y1, Y2, . . . , Y8 be an independent random sample of SAT verbal scores, assumed to be N(μY, σ2). If the following ...Let p equal the proportion of Americans who select jogging as one of their recreational activities. If 1497 out of a random sample of 5757 selected jogging, find an approximate 98% confidence interval for p. We would like to fit the quadratic curve y = β1 + β2x + β3x2 to a set of points (x1, y1), (x2, y2), . . . , (xn, yn) by the method of least squares. To do this, let (a) By setting the three first partial derivatives of h ...Post your question