4. (4 points) Suppose that two fair 4-sided die are rolled (call them Xi and Xo)

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4. (4 points) Suppose that two fair 4-sided die are rolled (call them Xi and Xo). Let Mar denote the maximum of the two rolls. Let Min denote the minimum of the two rolls. Find the joint probability distribution of Mar and Min by completing the table below Max 1 2 34 2 Min 5. (8 points) An urn contains 4 red (R), 3 white (W) and 3 blue marbles (B). (a) Flnd the probability that the sumber of red exceeds the sumber of white and blue combised, il & marbles are selected with replacement. b) Fund the probabidlity that the t umber of marbles drawn from each color is even (0 is even), if 4 marbles ane selected Sappose that Xi and X ane ladegesdeat con ioous uniform random vaciables both on the interval (a, b). ind the mean and variace of Y X+X (b) The distribution of Y will have a symmetric triangle distributios on the isterval (a.tb) with r(a)(2a) whose maxiom helght is h at the mesn. Find A if Y is a vald probability density fusction one delect for sale. IfY one defect 5.135 In Exercise 5 items from the of defectives and has a unif

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