Normal Probability Worksheet
Name:____________________________________
Section:___________________
1.
A sample of temperatures from a dolphin pool at Mystic Aquarium was found to
be normally distributed with a mean of 72.4 degrees (F) and a standard deviation
of 2.6 degrees (F).
Represent the data with a normal curve and label the
horizontal axis in standard deviation units. Then use the Empirical Rule to fill in
the areas.
Approximately what percentage of the time are the temperatures in the pool
a.
greater than 75 degrees?
a.
15.87%
b.
below 67.2 degrees?
a.
2.27%
c.
Between 67.2 and 77.6 degrees?
a.
95.44%
d.
Between 67.2 and 75 degrees?
a.
81.85%
e.
Above 76 degrees?
(You can only guess at this one!!)
a.
14.56
f.
If a temperature above 77.6 is unacceptable (too warm), what percent of the time is
the temperature too warm?
a.
2.28%
2.
For each example, draw the curve, shade the are you want to find, and use your
calculator to find the area:
a.
Between
95 and 267 for the normal random variable, X, with µ = 100 and
= 90.
a.
0.49
