RAM Food Enterprise produces a special sugar-free candies. This sugar-free candy is sold in terms of pack. The food manufacturing offers two flavors, orange and lemon). Percent composition of each flavor in a pack are random variables, X=orange, and Y = lemon with joint probability density function of f(x,y) = {16(xy ), (0, 0 < x, y < 1, x +y< 1; elsewhere. Determine the following: a) What is the probability that in a pack the lemon flavor is more than half of orange flavor? b) 2. What is the marginal density function of the percent composition of orange flavor? c) What is the probability that the percent composition of orange flavor is less than 1/6 given that it has % of lemon flavor? d) What is the E(X)?

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Determine the following

RAM Food Enterprise produces a special sugar-free candies. This sugar-free candy is sold in terms of pack.
The food manufacturing offers two flavors, orange and lemon). Percent composition of each flavor in a
pack are random variables, X=orange, and Y = lemon with joint probability density function of
0 <x, y < 1, x + y< 1;
f(x,y) = {C(xy ),
0,
elsewhere.
Determine the following:
a) What is the probability that in a pack the lemon flavor is more than half of orange flavor?
b) 2. What is the marginal density function of the percent composition of orange flavor?
c) What is the probability that the percent composition of orange flavor is less than 1/6 given that
it has % of lemon flavor?
d) What is the E(X)?
Transcribed Image Text:RAM Food Enterprise produces a special sugar-free candies. This sugar-free candy is sold in terms of pack. The food manufacturing offers two flavors, orange and lemon). Percent composition of each flavor in a pack are random variables, X=orange, and Y = lemon with joint probability density function of 0 <x, y < 1, x + y< 1; f(x,y) = {C(xy ), 0, elsewhere. Determine the following: a) What is the probability that in a pack the lemon flavor is more than half of orange flavor? b) 2. What is the marginal density function of the percent composition of orange flavor? c) What is the probability that the percent composition of orange flavor is less than 1/6 given that it has % of lemon flavor? d) What is the E(X)?
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