imported and Y = local). Find the probability that the proportion of %3D imported coffee is less than 3/8 if it is known that the blend contains 4/15 local coffee.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Baguio coffee company produces different blends of coffee, with each
blend containing various proportions of imported, local, and other kinds of
coffee from different provinces. The proportions of imported and local
coffee in a blend are random variables with joint density function (X =
imported and Y = local). Find the probability that the proportion of
%3D
imported coffee is less than 3/8 if it is known that the blend contains 4/15
local coffee.
24xy, 0<x, y < 1, x +y < 1,
f (x, y) =
(0,
elsewhere.
) 2025/7744
1325/6310
O None of these (Place answer in solution paper)
5613/8745
1111/4444
Transcribed Image Text:Baguio coffee company produces different blends of coffee, with each blend containing various proportions of imported, local, and other kinds of coffee from different provinces. The proportions of imported and local coffee in a blend are random variables with joint density function (X = imported and Y = local). Find the probability that the proportion of %3D imported coffee is less than 3/8 if it is known that the blend contains 4/15 local coffee. 24xy, 0<x, y < 1, x +y < 1, f (x, y) = (0, elsewhere. ) 2025/7744 1325/6310 O None of these (Place answer in solution paper) 5613/8745 1111/4444
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