2. The random variable X, representing the number of cherries in a cherry puff, has the following probability distribution: 4 5 0.2 0.4 6 7 P(X = 2) 0.3 0.1 (a) Find the mean u and the variance o of X. (b) Find the mean Hx and the variance o of the mean X for random samples of 36 cherry puffs. (c) Find the probability that the average number of cherries in 36 cherry puffs will be less than 55

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