STATISTICS FOR SOCIAL SCIENCES
BUS 152
___________________________________________________________________________
PROBLEM SET  4
SOME CONTINUOUS PROBABILITY DISTRIBUTIONS
Problem 1 (6.1)
Given a standardized normal distribution, what is the probability that
a.
Z
is less than 1.57?
b.
Z
is greater than 1.84?
c.
Z
is between 1.57 and 1.84?
d.
Z is less than 1.57 or greater than 1.84?
Problem 2 (6.3)
Given a standardized normal distribution, what is the probability that
a.
Z
is less than 1.08?
b.
Z
is greater than 0.21?
c.
Z
is less than 0.21 or greater than the mean?
d.
Z is less than 0.21 or greater than 1.08?
Problem 3 (6.5)
Given a standardized normal distribution with
100
=
μ
and
10
=
σ
, what is the probability that
a.
75
X
?
b.
70
<
X
?
c.
110
X
or
80
<
X
?
d.
80% of the values are between what two
X
values (symmetrically distributed around the mean)?
Problem 4 (6.7)
During 2001, 61.3% of U.S. households purchased ground coffee and spent an average of $36.16 on
ground coffee during the year. Consider the annual ground coffee expenditures for households
purchasing ground coffee, assuming that these expenditures are approximately distributed as a
normal random variable with a mean of $36.16 and a standard deviation of $10.00.
a.
Find the probability that a household spent more than $25.00.
b.
Find the probability that a household spent more than $50.00.
c.
What proportion of the household spent between $30.00 and $40.00?
d.
99% of the households spent less than what amount?
Problem 5 (6.11)
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '11
 çeşmecibaşı
 Accounting, Normal Distribution, Probability

Click to edit the document details