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Algebra 2 Honors
Normal Probability
1.
The weights of adult male rhesus monkeys are normally distributed, with a mean of 15 pounds
and a standard deviation of 3 pounds. A rhesus monkey is randomly selected. Find the
probability that the monkey’s weight is
a.
b.
c.
2.
What proportion of biology majors have a GPA above 3.5
Students are thrown out of the school if their GPA falls below 2.0. What percentage of
freshman biology majors are thrown out?
Healthy 10 week old kittens have an average weight of 24.5 oz with a standard deviation of
5.25. The distribution is approximately normal.
a.
b.
c.
5.
less than 15 mg
between 10 mg and 25 mg
more than 24,5 mg
GPA’s of a certain group of freshman biology majors are normally distributed with a mean of
2.87 and standard deviation of 0.34.
a.
b.
4.
less than 13 pounds
is between 13 and 17 pounds
is more than 17 pounds
When robin eggs are weighed, it turns out that they vary according to approximately the normal
distribution with a mean of 17.5 mg and standard deviation of 3.5 mg. What proportion of robin
eggs weigh
a.
b.
c.
3.
Name_____________________
Period_____Date____________
A kitten is designated as dangerously underweight when, at 10 weeks, it weighs less
than 10 oz. Assuming the population is normally distributed, what proportion of
healthy kittens will be designated as dangerously underweight?
What percent of kittens weight more than 33 oz?
If 50 healthy kittens are randomly selected, how many will weigh more than 33 oz?
Maple tree diameters in a forest area are normally distributed with a mean of 10 in and
standard deviation of 2.2 in.
a.
b.
Find the proportion of trees having a diameter greater than 15 inches.
If 200 maples trees are randomly selected, how many trees will have a diameter greater
than 15 inches?
6.
The mean cholesterol level in children is 175 mg/dL with standard deviation of 35 mg/dL.
Assume this level is normally distributed. What proportion of children have a cholesterol level
above 200 mg/dL?
7.
At two years of age, sardines inhabiting Japanese waters have a length distribution that is
approximately normal with mean 20.20 cm and standard deviation 0.65 cm. What proportion
of these sardines are between 19.0 and 21.0 cm long?
Answers 1a
.2514
1b
.4972
1c
.2514
2a
2b
2c
.2389
.9676
.0228
3a
3b
.0322
0.52%
4a
4b
4c
.0029
5.26%
about 3 kittens
5a
5b
.0116
about 2 trees
6
.2389
7
.8585
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