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The random variable X, representing the number of cherries in a cherry puff, has the following probability distribution:
(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
If a student guesses on each question, what is the probability that the student will pass the test?
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A manufacturer claims that the mean lifetime,M , of its light bulbs is 51 months. The standard deviation of these lifetimes is 9 months. Ninety bulbs are selected at random, and their mean lifetime is found to be 53 months.
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