A companys cereal boxes advertise that each box contains 9.65 ounces of cereal. In fact, the amount
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A company’s cereal boxes advertise that each box contains 9.65 ounces of cereal. In fact, the amount of cereal in a randomly selected box follows a Normal distribution with mean μ = 9.70 ounces and standard deviation σ = 0.03 ounce.
a. What is the probability that a randomly selected box of the cereal contains less than 9.65 ounces of cereal?
b. Now take an SRS of 5 boxes. What is the probability that the mean amount of cereal in these boxes is less than 9.65 ounces?
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