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4. Suppose an urn contains 2 red and 3 blue balls. We repeatedly draw a ball uniformly and independently at random from the urn (and then put it back). What is the distribution of the number of draws until we see a. a red ball once? b. a blue ball twice? Find also the distribution of the number of red balls drawn in the rst 10 draws. 5. Suppose a lake has 10 0 many fish, only 100 of them being salmon. Suppose I catch a fish uniformly at random, tag it and put it back in the lake and suppose I do this for 2 x 108 many times. Approximate the probability that at least 1 salmon fish is tagged. 6. Consider the following function O if x V3 Let X be a random variable with cdf F. What is the smallest interval [a, b] so that Pa