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Problem 5. Suppose I have an urn with 9 balls: 4 green, 3 yellow, and 2 white ones. I draw a ball from the urn repeatedly with replacement, until I see the first green or yellow ball and then I stop. Let N be the number of draws I need. Let Y equal 1 if the last draw is green and 2 if the last draw is yellow. Find the joint and marginal probability mass fiunctions of (N, Y) and determine if N and Y are ndependent

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Poblem (5): 8 yellow , and hite ones veplacement, untitl r see the frst green or yelloua suppose T have an um eoith 9 balls; 4 green T dfow a ball trom the. um repeatedly caith batl and then T Stop let N berthe number of douos工need, . The probablty of etting Breen ball is The prcbabiily «f getting yetlous hall is Given, T the last daus s green Tf the last drauo ts yellouo 3 he jont probabilty of N&y is 3 27Tf N and y are. independent 9 구- N ond y aye Independent

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