Math 1342 Final Exam Review
Chapters:
4-2 to 4-5, 5-2 to 5-3, 6-2, 6-3, 7-1 to 7-4, 8-2 to 8-4, 9-1 to 9-5 except 9-3
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1)
A single card is drawn from a deck. Find the probability of selecting a heart or a 8.
4
2
1
17
A)
B)
C)
D)
13
13
4
52
1)
2)
If a single card is drawn from an ordinary deck of cards, what is the probability of
drawing a jack, queen, king, or ace?
5
4
9
17
A)
B)
C)
D)
13
13
26
52
2)
3)
An apartment building has the following distribution of apartments:
2 bedroom
3 bedroom
1 bedroom
1st floor 3
1
1
2nd floor 0
4
2
3rd floor 1
4
1
If an apartment is selected at random, what is the probability that it is not a 2 bedroom
apartment on the 2nd floor?
13
4
4
11
A)
B)
C)
D)
17
9
13
13
3)
4)
If P(A) = 0.38, P(B) = 0.33, and P(A and B) = 0.24, find P(A or B).
A) 0.47
B) 0.24
C) 0.355
4)
D) 0.12
5)
Let A and B be events with P(A) = 0.9, P(B) = 0.4, and P(A and B) = 0.36. Are A and B
independent?
A) No
B) Yes
5)
6)
A lot of 1000 components contains 250 that are defective. Two components are drawn at
random and tested. Let A be the event that the first component drawn is defective, and
let B be the event that the second component drawn is defective.
6)
Find P(B|A).
A) 0.25
B) 0.004
C)
1
0.0623
D) 0.2492
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
7)
Given eight students, three of which are female, if two students are selected at
random, without replacement, what is the probability that both students are
female?
7)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
8)
A group of 10 male and 8 female students is talking about going out for pizza. If 50% of
the male students actually go and 25% of the female students actually go, find the
probability that a random student who goes out for pizza is female.
1
2
1
4
A)
B)
C)
D)
8
7
18
5
8)
9)
FizzFizz soda comes in two varieties, regular and diet. If a researcher has 5 boxes of
each, how many ways can he select 2 boxes of each for a quality control test?
A) 100
B) 49
C) 10
D) 50
9)
10) If
a menu has a choice of 5 appetizers, 3 main courses, and 3 desserts, how many dinners
are possible if each includes one appetizer, one main course, and one dessert?
A) 45
B) 30
C) 14
D) 3
10)
11) Each
11)
of 5 students wishes to buy a particular textbook, but only 2 textbooks are
available. How could one express the number of ways those textbooks could be
distributed among the students?
A) 2 C5
B) 2 P5
C) 5 P2
D) 5 C2
12) On
a TV game show, a contestant is shown 8 products from a grocery store and is asked
to choose the three least-expensive items in the set. The three chosen items need not be
in any particular order. In how many ways can the contestant choose the three items?
A) 56
B) 6
C) 6720
D) 336
12)
13) A
13)
14) A
14)
student and a professor each choose a number between 1 and 9 (1 and 9 are both
possible choices). What is the probability that the two choose the same number?
2
2
1
1
A)
B)
C)
D)
81
9
81
9
committee consist of 5 women and 7 men. Three members are chosen as officers.
What is the probability that all three officers are women?
A) 0.1591
B) 0.0455
C) 0.0723
D) 0.01205
2
15) If
a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of
three, he wins $20. The cost to play the game is $5. What is the expectation of this
game?
A) $2.78
B) –$2.78
C) –$3.06
D) $3.06
15)
16) An
16)
17) It
17)
18) It
is estimated that 30% of households own a riding lawn mower. A sample of 12
households is studied. What is the probability that no more than 3 of these own a riding
lawn mower?
A) 0.4925
B) 0.2528
C) 0.7472
D) 0.5075
18)
19) A
normal population has a mean μ = 40 and standard deviation σ = 11. What proportion
of the population is between 24 and 32?
A) 0.8408
B) 0.2327
C) 0.0735
D) 0.1592
19)
20) A
20)
21) The
21)
22) A
22)
investor is considering a $15,000 investment in a start-up company. She estimates
that she has probability 0.25 of a $5000 loss, probability 0.05 of a $10,000 loss,
probability 0.25 of a $25,000 profit, and probability 0.45 of breaking even (a profit of
$0). What is the expected value of the profit?
A) $11,250
B) $4500
C) $3333
D) $8000
is estimated that 30% of households own a riding lawn mower. A sample of 10
households is studied. What is the probability that more than 7 of these own a riding
lawn mower?
A) 0.9894
B) 0.0106
C) 0.0016
D) 0.0001
bottler of drinking water fills plastic bottles with a mean volume of 1001 milliliters
(mL) and standard deviation 6 mL. The fill volumes are normally distributed. What
proportion of bottles have volumes less than 1001 mL?
A) 0.5438
B) 1.0000
C) 0.5000
D) 0.9772
average length of crocodiles in a swamp is 11.5 feet. If the lengths are normally
distributed with a standard deviation of 1.7 feet, find the probability that a crocodile is
more than 11 feet long.
A) 0.88
B) 0.62
C) 0.12
D) 0.38
certain car model has a mean gas mileage of 34 miles per gallon (mpg) with a standard
deviation 5 mpg. A pizza delivery company buys 43 of these cars. What is the
probability that the average mileage of the fleet is greater than 33.5 mpg?
A) 0.7454
B) 0.8554
C) 0.1446
D) 0.5636
3
23) The
mean annual income for people in a certain city (in thousands of dollars) is 41, with
a standard deviation of 34. A pollster draws a sample of 58 people to interview. What is
the probability that the sample mean income is between 38 and
44 (thousands of dollars)?
A) 0.2514
B) 0.4971
C) 0.7486
D) 0.5029
23)
24) The
24)
25) A
25)
average age of vehicles registered in the United States is 96 months. Assume the
population is normally distributed with a standard deviation of 15 months. Find the
probability that the mean age of a sample of 36 vehicles is between 98 and 100 months?
A) 15.7%
B) 6.4%
C) 44.5%
D) 28.8%
college admissions officer takes a simple random sample of 100 entering freshmen
and computes their mean mathematics SAT score to be 459. Assume the population
standard deviation is σ = 103.
Construct a 99% confidence interval for the mean mathematics SAT score for the
entering freshmen class.
A) 434 < μ < 484
B) 456 < μ < 462
C) 432 < μ < 486
D) 356 < μ < 562
26) The
winning team's score in 13 high school basketball games was recorded. If the
sample mean is 54.3 points and the sample standard deviation is 13.0 points, find the
98% confidence interval of the true mean.
A) 35.0 < μ < 73.6
B) 50.7 < μ < 57.9
C) 44.6 < μ < 64.0
D) 45.9 < μ < 62.7
26)
27) It
27)
28) Find
28)
was found that in a sample of 90 teenage boys, 70% of them have received speeding
tickets. What is the 90% confidence interval of the true proportion of teenage boys who
have received speeding tickets?
A) 0.591 < p < 0.812
B) 0.584 < p < 0.830
C) 0.615 < p < 0.805
D) 0.620 < p < 0.780
the 95% confidence interval for the standard deviation of the lengths of pipes if a
sample of 26 pipes has a standard deviation of 10.6 inches.
A) 86.4 < σ < 138.4
B) 6.6 < σ < 14.6
C) 8.3 < σ < 14.6
D) 69.1 < σ < 214.1
29) A
test is made of H0: μ = 60 versus H1 : μ > 60. A sample of size n = 77 is drawn, and
x = 64. The population standard deviation is σ = 23. Compute the value of the test
statistic (calculated) and determine if H0 is rejected at the α = 0.05 level.
A) 1.53, H 0 not rejected
B) 0.17, H 0 not rejected
C) 1.53, H 0 rejected
D) 0.17, H 0 rejected
4
29)
30) At
a certain university, the average attendance at basketball games has been 2825. Due
to the dismal showing of the team this year, the attendance for the first 14 games has
averaged only 2515 with a standard deviation of 485. The athletic director claims that
the attendance is the same as last year. What is the test value needed to evaluate the
claim?
A) -6.76
B) -8.94
C) -2.39
D) -5.66
30)
31) In
31)
32) An
32)
a simple random sample of size 94, there were 61 individuals in the category of
interest. It is desired to test H0 : p = 0.59 versus H1: p < 0.59. Compute the calculated
value or test statistic.
A) 1.16
B) 4.79
C) 0.05
D) 0.65
educational researcher is analyzing the test scores for physics students taught using
two different methods - a traditional method, and a web-based self-paced method. Can
he conclude, at α = .05, that the test scores in the web-based self-paced method are
lower?
Traditional Web-based Self-paced
Sample size
60
80
Mean test score
86
83
Population variance
24
34
A) The data supports the claim because the test value 3.30 is greater than the critical
value 1.65.
B) The data supports the claim because the test value 1.82 is less than the critical value
1.96.
C) The data supports the claim because the test value 3.30 is greater than the critical
value 1.96.
D) The data supports the claim because the test value 1.82 is greater than the critical
value 1.65.
33) Mauricio
Cruz, a wine merchant for Cruz's Spirits Emporium, wants to determine if the
average price of imported wine is less than the average price of domestic wine. He
obtained the data shown in the table below.
Imported Wine
Domestic Wine
X 1 = $7.03
s1 = $2.31
X 2 = $9.78
s2 = $3.62
n = 15
n = 16
What is the appropriate test value for a t test?
A) -6.49
B) -4.46
C)
5
-0.92
D) -2.54
33)
34) A
recent survey reported that in a sample of 300 students who attend two-year colleges,
105 work at least 20 hours per week. Additionally, in a sample of 225 students attending
private four-year universities, only 20 students work at least 20 hours per week. What is
the test value for a test of the difference between these two population proportions?
A) 6.95
B) 2.38
C) 7.61
D) 4.18
34)
35) A
35)
researcher hypothesized that the variation in the car rental rates (in US$/day) at a
major city airport is less than in the car rental rates down town. A survey found that the
variance of the rental rates on 8 cars at the airport was 35.7 while the variance of the
rental rates on 5 cars down town was 50.4. What test value should be used in a F test?
A) 1.41
B) 1.19
C) 2.26
D) 1.99
6
Answer Key
Testname: MATH 1342 FINAL EXAM REVIEW
1)
2)
3)
4)
5)
6)
A
B
A
A
B
D
7)
3
28
8) B
9) A
10) A
11) D
12) A
13) D
14) B
15) C
16) B
17) C
18) A
19) D
20) C
21) B
22) A
23) B
24) A
25) C
26) C
27) D
28) C
29) A
30) C
31) A
32) A
33) D
34) A
35) A
7