Download Exercise Problems for Normal Distributions. Name 1. Find the area

Exercise Problems for Normal Distributions.
Name _______________________
1. Find the area under the standard normal curve
a) below z = .96
b) below z = 1.96
c) between z = 0 and z = 2.58
d) between z = 0 and z = 1.96
e) between z = 1.05 and z = 2.47
f) to the right of z = 2.48
g) to the right of z = −1.96
h) to the right of z = 1.96
i) between z = −1.96 and z = 1.96
j) between z = −2.41 and z = 1.85
k) between z = −1.23 and z = −0.21
2. Find the following probability or percentages
a) P( Z < 1.52) =
b) P(0 < Z < 0.84) =
c) P(-1.54< Z < 2.19) =
d) P(0.59 < Z < 1.83) =
3. In a distribution with mean 16 and standard deviation 3, find the z-score of
a) 10
b) 6
c) 21
d) 19
Exercise Problems for Normal Distributions
1. The pulse rates for a particular population follow a normal distribution with mean 70 per minute and
standard deviation of 4.
a) What percentage of the population that have pulse rate less than 75?
b) What percentage of the population that have pulse rate between 65 and 75?
c) What percentage of the population that have pulse rate higher than 80?
d) Find the 90th percentile of this distribution?
2. The amount of coke in the 2-liter bottles has a normal distribution with mean 2.05 liter and standard
deviation of .1. If you bought a 2-liter bottle of coke,
a) what is the probability that it contains less than 2 liter of coke?
b) what is the probability that it contains between 1.9 and 2.1?
c) what is the probability that it contains more than 2.1 liter of coke?
d) Find the 60th percentile of this distribution.
3. The amount of money spending in the Canfield Fair for families who go to the fair follow a normal
distribution with mean $60 and standard deviation of $20. If the pattern stays the same this year.
a) What percentage of the families will spend more than $80 this year?
b) What percentage of the families will spend less than $20 this year?
c) What percentage of the families will spend between $50 to $100 this year?
d) Find the 30th percentile of this distribution.
A. Chang
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