. For the following problem below, sketch the graph showing the mean and
standard deviation, as well as the area in question. Show work to support your
calculations.
Suppose that the number of points that you score in a given quiz is approximately
bell-shaped with a mean of 30 and a standard deviation of 6. Use the empirical rule
to determine the following:
a) What is the probability that you score between 18 and 42 points?
b) What is the probability (two decimal places) that you score between 12 and 36
points?
c) What is the probability (two decimal places) that you score less than 48 points?
. A student scored 65 on a Statistics exam that had a mean of 50 and a
standard deviation of 10; she scored 30 on a history exam with a mean of 25
and a standard deviation of 5. Compare her relative positions on the two exams
using z-scores.
