Suppose a bin has 3 green balls and 4 yellow balls. {a} Nine draws are made with replacement. Let X be the number of times a green ball appears. identify by name the probability distribution otX. Find the probabilities POE L3 1) and P(X 5). {bl Draws with replacement are made until the first green bell appears. Let N be the number of draws that are needed. identity by name the probability distribution of N, and find PUV :1 9}. {e} Compare P[X E 1) and PU? 9). is there a reason these should be the same