A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed
Question:
A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 300 milliliters (ml). In fact, the contents vary according to a Normal distribution with mean μ = 298 ml and standard deviation σ = 3 ml.
a. What is the probability that a randomly selected bottle contains less than 295 ml?
b. What is the probability that the mean contents of six randomly selected bottles is less than 295 ml?
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