150. Key: B
The 95th percentile is in the range when an accident occurs. It is the 75th percentile of the
payout, given that an accident occurs, because (0.95 0.80)/(1 0.80) = 0.75. Letting x
x
3000
t
147.
Key: A
Let X denote the amount of a claim before application of the deductible. Let Y
denote the amount of a claim payment after application of the deductible. Let
O be the mean of X, which becau
97.
Solution: C
We are given f(t1, t2) = 2/L2, 0 d t1 d t2 d L .
L t2
2
2 2
2
2
Therefore, E[T1 + T2 ] = (t1 t2 ) 2 dt1dt2 =
L
0 0
t2
L t13
2
2
t
t
dt1
2 1
2
0 3
L
0
4 L
L
2 4 3
2 t2
= 2 t2 d
Univariate Distribution Relationships
Lawrence M. L EEMIS and Jacquelyn T. M C Q UESTON
Probability distributions are traditionally treated separately in
introductory mathematical statistics textbooks
Date
16Aug
18Aug
21Aug
23Aug
28Aug
30Aug
Topic
Homework Assignment
2.1,2.6,2.9, 2.16,2.26,2.28,
2.29,2.31,2.32,2.39,2.40
Date
11-Oct
Topic
Homework Assignment
W
3.6
6.1,6.5,6.11,6.14,6.16
M
2.1-2
W
2.
31.
Solution: D
Let X denote the number of employees that achieve the high performance level. Then X
follows a binomial distribution with parameters n 20 and p 0.02 . Now we want to
determine x such t
5
f k Pr > X
E f X
k 1
[email protected]
5
4
3
2
1
100 200 300 325 350
15
15
15
15
15
1
640
213.33
>100 160 180 130 [email protected]
3
3
-50.
Solution: C
Let N be the number of major snowstorms per year, and let
Special Probability Distributions
Table 4.1: Discrete Probability Distribution
Distribution
Bernoulli
Binomial
Hypergeometeric
Discrete Uniform
Poisson
Geometric
83
Negative Binomial
Multinomial
q = 1
1. Solution: D
Let
G = event that a viewer watched gymnastics
B = event that a viewer watched baseball
S = event that a viewer watched soccer
Then we want to find
c
Pr ( G B S ) = 1 Pr ( G B S )
= 1 P
52.
An insurance company sells a one-year automobile policy with a deductible of 2 .
The probability that the insured will incur a loss is 0.05 . If there is a loss, the
probability of a loss of amoun
Module 7 Practice Test
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1) At which point should you complete your patient care report (PCR)?
A) A
2015.09.09
Math 224-01 Exam 1
Key
1) The following data represent the percentage of power generated by nuclear power plants in a selection of U.S.
states: 16,16,13,7,26,7,11,27,5,11,8,14,5,13,13,8,6,1
09.28.12
Math 224-03 Exam 2
KEY
Show all relevant work, but put your final answer in the space provided
1) Given a sample space S=cfw_e1,e2,e3,e4,e5,e6,e7,e8 with outcome probabilities P(e1)=P(e2)=0.2
10/29/2012
Math 224 Exam 3
Last Name_ ID_
Show all relevant work, and put final answer in the space provided
1) The number of emergency calls received by a rural fire brigade is a random variable, X,
10/31/2011
Math 224 Exam 3
KEY
Show all relevant work, and put final answer in the space provided
1) The number of customers requiring state inspections a Jiffy-Lube receives on a Monday is a random
v
2014.04.07
Math 224 Exam 3
KEY
1) The number of deaths in a year in college football is a random variable, X with the following probability
distribution:
x
0
1
2
3
4
5
P(X=x)
.46
.37
.06
.06
.03
.02
F
2016.10.05
Math 224-01 Exam 2
KEY
1) A fair six-sided die is rolled: let A be the event that a number 3 or lower comes up, and B the event that an
odd number comes up. Find
A=cfw_1,2,3, B=cfw_1,3,5, A
10/31/2011
Math 224 Exam 3
Last Name_ ID_
Show all relevant work, and put final answer in the space provided
1) The number of customers requiring state inspections a Jiffy-Lube receives on a Monday is
2016.04.06
Math 224 Exam 3
Last Name_ ID_
Show all relevant work, and put final answer in the space provided
1) How many distinct sequences may be formed with 10 H's and 6 T's
ANS: _
2) The number of
2015.04.01
Math 224 Exam 3
Last Name_ ID_
Show all relevant work, and put final answer in the space provided
1) How many distinct sequences may be formed with 5 H's and 6 T's
ANS: _
2) A class has 15
2014.02.03
Math 224-03 Exam 1
Last Name_
Banner ID _
Put your answer in the space provided
1) The following numbers are percentages of schoolchildren who have tried marijuana in a sample of countries:
Sept 6, 2012
Math 224-03 Exam 1
Last Name_
Banner ID _
Put your answer in the space provided
1) Make a stemplot from the following set of scores, and do the 5-number summary. 72, 23, 62, 67, 60, 35, 4
2014.04.07
Math 224 Exam 3
Last Name_ ID_
Show all relevant work, and put final answer in the space provided
1) The number of deaths in a year in college football is a random variable, X with the foll
Sept 5th, 2012
Math 224-03 Exam 1
KEY
1) Make a stemplot from the following set of scores, and do the 5-number summary. 72, 23, 62, 67, 60, 35, 40,
53, 42, 72, 33, 69, 35, 75, 54, 70, 32, 26, 58, 30,
2016.04.06
Math 224 Exam 3
KEY
1) How many distinct sequences may be formed with 10 H's and 6 T's
10 H's and 6 T's
C(16,6) = 8,008
11 H's and 7 T's
C(18,11) = 31,824
12 H's and 8 T's
C(20,8) = 125,970
2015.09.09
Math 224-01 Exam 1
Last Name_
Banner ID _
Put your answer in the space provided
1) The following data represent the percentage of power generated by nuclear power plants in a selection of U
10/29/2012
Math 224 Exam 3
KEY_
Show all relevant work, and put final answer in the space provided
1) The number of emergency calls received by a rural fire brigade is a random variable, X, with the f