Suppose packages of cream cheese coming from an automated processor have weights that are normally distributed. For one day's production run, the mean is 8.2 ounces and the standard deviation is 0.1 ounce.
(a) If the packages of cream cheese are labeled 8 ounces, what proportion of the packages weigh less than the labeled amount?
(b) If only 5% of the packages exceed a specified weight w, what is the value of w.
(c) Suppose two packages are selected at random from the day's production. What is the probability that the average weight of the two packages is less than 8.3 ounces?
(d) Suppose 5 packages are selected at random from the day's production. What is the probability that at most one package weighs at least 8.3 ounces?
This question was answered on: Jul 11, 2017
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