This preview shows pages 1–3. Sign up to view the full content.
SAMPLE PROBLEM SET  EXAM P/CAS 1
1
©
ACTEX 2005
SAMPLE PROBLEM PROBLEM SET  EXAM P/CAS 1
1.
A life insurer classifies insurance applicants according to the following attributes:
Q
 the applicant is male
L
 the applicant is a homeowner
Out of a large number of applicants the insurer has identified the following information:
40% of applicants are male, 40% of applicants are homeowners and
20% of applicants are female homeowners.
Find the percentage of applicants who are male and do not own a home.
A)
.1
B)
.2
C)
.3
D)
.4
E)
.5
2.
A test for a disease correctly diagnoses a diseased person as having the disease with
probability .85.
The test incorrectly diagnoses someone without the disease as having the disease
with a probability of .10.
If 1% of the people in a population have the disease, what is the chance
that a person from this population who tests positive for the disease actually has the disease?
A)
B)
C)
D)
E)
Þ!!)&
Þ!(*"
Þ"!(&
Þ"&!!
Þ*!!!
3.
A class contains 8 boys and 7 girls. The teacher selects 3 of the children at random and
without replacement.
Calculate the probability that number of boys selected exceeds the number
of girls selected.
A)
B)
C)
D)
E)
&"#
#)
)
")&'
$'
$$(&
'&
"&
$$(&
'&
4.
is a continuous random variable with density function
.
\0
Ð
B
Ñ
œ

/
ß
B
"
B
Find
.
TÒ\$
l\#
Ó
A)
B)
C)
D)
E)
"/
/
/
/
/
"
"
#
"
#
#
$
5.
Two players put one dollar into a pot.
They decide to throw a pair of dice alternately.
The
first one who throws a total of 5 on both dice wins the pot.
How much should the player who
starts add to the pot to make this a fair game?
A)
B)
C)
D)
E)
*)
"
#
)
"(
"(
)
*
*
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document 2
SAMPLE PROBLEM SET  EXAM P/CAS 1
©
ACTEX 2005
6.
A carnival sharpshooter game charges $25 for 25 shots at a target.
If the shooter hits the
bullseye fewer than 5 times then he gets no prize. If he hits the bullseye 5 times he gets back $10.
For each additional bullseye over 5 he gets back an additional $5.
The shooter estimates that he
has a .2 probability of hitting the bullseye on any given shot.
What is the shooter's expected gain
if he plays the game (nearest $1)?
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 03/29/2010 for the course STATISTICS 50 taught by Professor Diaz during the Spring '10 term at California State University , Monterey Bay.
 Spring '10
 Diaz

Click to edit the document details