The random variable x representing the number of cherries

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The random variable X, representing the number of cherries in a cherry puff, has the following probability distribution:

x 4 5 6 7
P(X=x) 0.2 0.4 0.3 0.1

(a) Find the mean and variance of X.

(b) Find the probability that the number of cherries in a cherry puff will be no more than 5

(c) Find the probability that the average number of cherries in 36 cherry puffs will be no more than 5

(d) Find the probability that the average number of cherries in 36 cherry puffs will be greater than 5.5

Reference no: EM13642517

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