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Marginal and conditional densityA tobacco company produces blends of tobacco with each blend containing various proportions of Turkish, domestic and other tobacco.The proportion of Turkish and domestic in a blend are random variables (X = Turkish and Y = domestic) with joint density function
f (x,y) = { 24xy, 0 < or= x < or=1, 0 < or = y < or=1x + y < or=10, elsewhereA. Find the marginal density for the proportion of the domestic tobacco.B. Find the conditional density of X given Y = 3/4C. Find the probability that the proportion of Turkish tobacco is less than 1/8, given that the blend contains 3/4 domestic tobacco
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