Question: The random variable X, representing the number of cherries in a cherry puff, has the following probability distribution:(a) Find the mean p. and the variance

The random variable X, representing the number of cherries in a cherry puff, has the following probability distribution:(a) Find the mean p. and the variance ?2 of X.(b) Find the mean px, and the variance ?2x 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.

4 6. = X) x) 0.2 0.4 0.3 0.1 P(X

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