Suppose the amount of sun block lotion in plastic bottles leaving a filling machine has a normal

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Suppose the amount of sun block lotion in plastic bottles leaving a filling machine has a normal distribution. The bottles are labeled 300 milliliters (ml) but the actual mean is 302 ml and the standard deviation is 2 ml.
(a) What is the probability that an individual bottle contains less than 299 ml?
(b) Two bottles can be purchased together in a twin-pack. What is the probability that the mean content of bottles in a twin-pack is less than 299 ml? Assume the contents of the two bottles are independent.
(c) If you purchase two twin-packs of the lotion, what is the probability that only one of the twin-packs has a mean bottle content less than 299 ml?
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Statistics Principles And Methods

ISBN: 9780470904114

7th Edition

Authors: Richard A. Johnson, Gouri K. Bhattacharyya

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