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Hello! Can you help me tp solve question 3.41 part a) only and 3.61 ?? tHank you and the answer for 3.41 is 1/16 for

Hello! Can you help me tp solve question 3.41 part a) only and 3.61 ?? tHank you and the answer for 3.41 is 1/16 for part a).

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(c) Find the probability that the drive-throu gh facility is busy less than one-half of the time. .3. 41" A candy company distributes boxes of choco- law-S with a. mixture of creams, toifees, and cordials. Suppose that the weight of each box is 1 kilogram, but the individual weights of the creams, toffees, and cor- dials vary from box to box. For a randomly selected box, let X and Y represent the weights of the creams and the toffees, reSpectively, and suppose that the joint density function of these variables is __ 24mg, 05x51,03y51,a5+y31, f(m,y) __ {0, elsewhere. (a) Find the probability that in a given box the cordials account for more than 1/2 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 is less than 1/8 of a kilogram if it is known that creams constitute 3 / 4 of the weight. 3.42 Let X and Y denote the lengths of life, in years, )f two components in an electronic system. If the joint iens1ty function of these variables is \"'0\" + U) > 0 > 0 f 13, = e ) x i y 9 * ( y) 0, elsewhere, S nnnnn C] With CamS ccccccc Review Exercises 3.61 A tobacco company produces blends of tobacco, with each blend containing various proportions of Turkish, domestic, and other tobaccos. The propor- tions of Turkish and domestic in a blend are random variables with joint density function (X = Turkish and Y = domestic) f (x, y ) = 24xy, 0

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