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In each of the following find the pdf of Y. Show that the pdf integrates to 1.
(a) Y = X3 and fx(x) = 42x5(1-x), 0<x<1
(b) Y = 4X+3 and fx(x) = 7e-7x, 0<x<infinity
(c) Y = X2 and fx(x) = 30x2(1-x)2, 0<x,1
let a be the subset of the plane r2 defined as the intersection of the first quadrant and the annulus between the
What is a 90% confidence interval for the mean monthly expenditure on gasoline per household in Slippery Rock?
A metropolitan school system consists of three school districts-norths, south, central. The north district contains 25% of all students, the south district contains 40%, and the central district contains 35%.
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In a random sample of 150 freshman applications received thus far, 67 of the applicants request financial aid. Is there evidence that the proportion of next year's freshmen class needing financial aid has increased?
N = 500 is to be selected from the population. What is the probability that the sample proportion, will be within ± 3 percentage points of the true p, i.e., Pr{0.42 ≤ ≤ 0.48}?
Suppose in fact that 47% of the population favors this idea. Use the normal distribution to calculate the probability that at least half of the sample are in favor.
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