Sydney is conducting market research on the price of washing machines. Sydney has determined that the
average cost of a washing machine is $776, and that the distribution of costs is normally distributed with a
standard deviation of $92.
a. If a washing machine is randomly selected, what is the probability that the washing machine costs more
than $811?
0.3520
X
b. If a washing machine is randomly selected, what is the probability that the cost is between $811 and
$963?
c. Suppose that Sydney collects a random sample of the costs of 16 washing machines. What is the
probability that the sample mean cost is between $767 and $823?