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Consider a bag of m&ms comprised of 3 red and 4 blue Probability Distributions 4. A bag of M&M's contains 7 M&M's: 3 red, 4

Consider a bag of m&ms comprised of 3 red and 4 blue

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Probability Distributions 4. A bag of M&M's contains 7 M&M's: 3 red, 4 blue. M&M's are ran- domly drawn from the bag, one after the other, without replacement. Let T be the number of red M&M's drawn before drawing the first blue M&M. [1, 2.5.4] (a) Construct the probability distribution table for this experiment. (b) What is the expected value of T? 5. Consider a bag of M&M's comprised of 3 red M&M's and 4 blue M&M's, as in the previous problem. M&M's are randomly drawn from the bag, one after the other, with replacement. Let T be the number of red M&M's drawn before drawing the first blue M&M. [1, 2.5.5] (a) Give the formula for the probability distribution of this experi- ment. (b) What is the expected value of T

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