2. The random variable X, representing the number of cherries in a cherry puff, has the following probability distribution: 6 5 0.4 0.3 4 PX = x) 0.2 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 5.5.

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