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# Statistics - Probability

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A candy company distributes boxes of chocolates with a mixture of creams, toffees and cordials. Suppose that the weight of each box is 1 kilogram, but the individual weights of the creams, toffees and cordials vary from box to box. For a randomly selected box, let X = weight of creams and Y =weights of the toffees and the pdf is described as:

f(x,y)= 24xy-for(0< or =x< or =1), (0< or =y< or =1), (x+y < or =1)
0 Elsewhere

a. Find the probability that in a given box, the cordials amount for more than half of the weight
b. Find the marginal density for the weight of the creams
c. Find the probability that the weight of the toffees in a box of less than 1/8 of a kilogram given that creams constitute ¾ of the weight

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https://brainmass.com/statistics/probability/statistics-probability-268639

#### Solution Preview

A candy company distributes boxes of chocolates with a mixture of creams, toffees and cordials. Suppose that the weight of each box is 1 kilogram, but the individual weights of the creams, toffees and cordials vary from box to box. For a randomly selected box, let X = weight of creams and Y =weights of the toffees and the pdf is described as:

f(x,y)= 24xy-for(0< or =x< or =1), (0< or =y< or =1), (x+y < or =1)
0 Elsewhere

a. Find the probability that in a given box, the cordials amount for more than half of the weight
b. Find the marginal density for the weight of the creams
c. Find the probability that the weight of the toffees in a box of less than 1/8 of a kilogram given ...

#### Solution Summary

The probability in statistics is examined. A complete, neat and step-by-step solution is provided in the attached file.

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