(1 point) Consider another ubiquitous probability-course urn containing well-mixed black and white balls. There are 16 b

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1 Point Consider Another Ubiquitous Probability Course Urn Containing Well Mixed Black And White Balls There Are 16 B 1 (37.49 KiB) Viewed 104 times

(1 point) Consider another ubiquitous probability-course urn containing well-mixed black and white balls. There are 16 balls in total, 5 white and 11 black. 4 are chosen, one at a time and at random. Let Xbe 1 if the ith ball selected is black, and 0 otherwise For parts (a) and (b), assume that the balls are selected without replacement. (a) Calculate the conditional probability mass function X, given that X2 = 1. PX;\x: (01) = PXx: (1/1) = (b) Calculate the conditional probability mass function X, given that X2 = 0. PX;\x: (00) = PX;X; (110) = For parts (c) and (d), assume that the balls are selected with replacement. (c) Calculate the conditional probability mass function X, given that X, = 1. PX;X (01) = PxIx. (111) = (d) Calculate the conditional probability mass function X, given that X2 = 0. PxIx. (010) = Pxiix(110) =