Deck 10: Statistics and Probability

Question 1

A coin and a six-sided die are tossed. What is the probability of getting tails and a number less than or equal to 5?

A) 43
B) 125
C) 13
D) 56

Answer 1

B

Question 2

If two 12-sided dice are rolled, what is the probability that both numbers are even?

A) 14473
B) 14
C) 12
D) 14471

Answer 2

B

Question 3

Find the probability.
The maker of a certain candy claims that the proportions of colors of candy produced are: 0.2 red, 0.4 blue, 0.2 green, 0.1 purple and 0.1 yellow. What is the probability that a randomly selected candy from a newly-opened
Bag will be blue or red?

A) 0.2
B) 1
C) 0.6
D) 0.4

Answer 3

C

Question 4

Find the probability.
A 5-card hand is dealt from a deck of 52 cards. What is the probability that 3 cards are queens and two are kings?

A) 0.000181
B) 0.0962
C) 0.000000923
D) 0.00000923

Question 5

Find the probability.
The maker of a certain candy claims that the proportions of colors of candy produced are: 0.1 red, 0.1 blue, 0.1 green, 0.1 purple and 0.6 yellow. Suppose a candy is selected randomly from each of two newly-opened
Bags. What is the probability that one is green and the other is blue?

A) 0.99
B) 0.01
C) 0
D) 0.2

Question 6

If two 6-sided dice are rolled, what is the probability that both numbers are prime?

A) 14
B) 12
C) 49
D) 23

Question 7

Find the probability.
The maker of a certain candy claims that the proportions of colors of candy produced are: 0.2 red, 0.1 blue, 0.2 green, 0.1 purple and 0.4 yellow. Suppose a candy is selected randomly from each of two newly-opened bags.
What is the probability that both will be red?

A) 0.4
B) 0.2
C) 0.96
D) 0.04

Question 8

Find the probability.
The maker of a certain candy claims that the proportions of colors of candy produced are: 0.2 red, 0.1 blue, 0.2 green, 0.1 purple and 0.4 yellow. What is the probability that a randomly selected candy from a
Newly-opened bag will be neither red nor green?

A) 0.6
B) 1
C) 0.4
D) 0.2

Question 9

If two 6-sided dice are rolled, what is the probability that the sum is greater than 9?

A) 121
B) 16
C) 6
D) 14

Question 10

Find the probability.
A 5-card hand is dealt from a deck of 52 cards. What is the probability that a) all are from the same suit?
B) all are hearts?
C) exactly 2 are spades?

A) a) 0.000495 b) 0.00198 c) 0.003516
B) a) 0.00198 b) 0.000495 c) 0.003516
C) a) 0.000495 b) 0.00198 c) 0.00003
D) a) 0.00198 b) 0.000495 c) 0.27428

Question 11

Find the probability.
The maker of a certain candy claims that the proportions of colors of candy produced are: 0.1 red, 0.3 blue, 0.2 green, and 0.4 yellow. What is the probability that a randomly selected candy from a newly-opened bag
Will be green?

A) 1
B) 0.4
C) 0.2
D) 0.1

Question 12

Find the probability.
A 5-card hand is dealt from a deck of 52 cards. What is the probability that a) none are queens?
B) all are queens?

A) a) 0.65884 b) 0
B) a) 0 b) 0.65884
C) a) 0 b) 0.07487
D) a) 0.07487 b) 0

Question 13

Find the probability.
A 5-card hand is dealt from a deck of 52 cards. What is the probability that exactly one card is a king?

A) 0.0769
B) 0.0599
C) 0.200
D) 0.299

Question 14

If two 6-sided dice are rolled, what is the probability that the sum is 5?

A) 89
B) 4
C) 19
D) 56

Question 15

If two 6-sided dice are rolled, what is the probability that the sum is 5 or 10 ?

A) 16
B) 367
C) 29
D) 14

Question 16

Find the probability.
A 7-card hand is dealt from a deck of 52 cards. What is the probability that all 7 cards are hearts?

A) 0.0000513
B) 0.0000128
C) 0.0000610
D) 0.250

Question 17

Give the probability that the roll of a die will show a number less than 4.

A) 13
B) 14
C) 23
D) 12

Question 18

If two 6-sided dice are rolled, what is the probability that the sum is 4?

A) 3
B) 23
C) 121
D) 1112

Question 19

Find the probability.
The maker of a certain candy claims that the proportions of colors of candy produced are: 0.1 red, 0.1 blue, 0.1 green, 0.1 purple and 0.6 yellow. Suppose a candy is selected randomly from each of two newly-opened
Bags. What is the probability that neither will be red?

A) 0.81
B) 1
C) 0.01
D) 0.2

Question 20

Give the probability that the roll of a die will show 3 or 1.

A) 12
B) 16
C) 2
D) 13

Question 21

Solve the problem.
Suppose you receive a shipment of 26 CD players, two of which are defective. What is the probability of picking a sample of 4 CD players with two bad CD players in it? (Round approximations to the nearest thousandth.)

A) 1
B) 0.018
C) 0.711
D) 0.022

Question 22

Find the probability.
A 7-card hand is dealt from a deck of 52 cards. What is the probability that the hand includes all four kings?

A) 0.00391
B) 0.00000369
C) 0.000129
D) 0.135

Question 23

Solve the problem.
A and B are events in a sample space S such that P(A) = 0.4, P(B) = 0.5, and P(A and

A) Yes
B) = 0.14. Are events A and B independent?
B) No
C) Not enough information

Question 24

Solve the problem.
A and B are events in a sample space S such that P(A) = 0.2, P(B) = 0.7, and P(A and

A) Yes
B) = 0.14. Are events A and B independent?
B) No
C) Not enough information

Question 25

Find the probability.
A 5-card hand is dealt from a deck of 52 cards. What is the probability that exactly two cards are kings?

A) 0.00452
B) 0.0452
C) 0.00399
D) 0.0399

Question 26

Solve the problem.
A and B are events in a sample space S such that P(A) = 0.54, P(B) = 0.44, and P(A and

A) x = 0.4, y = 0.14, z = 0.3, w = 0.16
B) = 0.14. Draw a Venn diagram showing the overlapping sets A and B and fill in the probabilities of the four regions formed.
B) x = 0.4, y = 0.14, z = 0.3, w = 0.02
C) x = 0.54, y = 0.14, z = 0.44, w = 0.12
D) x = 0.54, y = 0, z = 0.44, w = 0.02

Question 27

Eleven dimes dated 1989 through 1999 are tossed. Find the probability of the event.
At least one head

A) 10231024
B) 20472048
C) 102487
D) 204887

Question 28

Solve the problem.
Suppose you receive a shipment of 16 calculators, two of which are defective. What is the probability of picking a sample of 5 calculators with exactly one bad calculator in it? (Round approximations to the nearest
Thousandth.)

A) 0.458
B) 0.092
C) 0.046
D) 0.229

Question 29

Solve the problem.
The distribution of B.A. degrees conferred by a local college is listed below, by major. Major Frequency
English 2073
Mathematics 2164
Chemistry 318
Physics 856
Liberal Arts 1358
Business 1676
Engineering 868
9313
What is the probability that a randomly selected degree is not in Mathematics?

A) 0.303
B) 0.232
C) 0.682
D) 0.768

Question 30

Solve the problem.
A box contains 4 slips of paper, on each of which is written the number 1, 2, 3, or 4, respectively. A slip is drawn and the number on it is noted. That slip is put aside, another drawn, and the number on it noted. What is the probability that
A) the sum of the two numbers is 5?
B) the first number drawn is a 2 and the second number is not 5?
C) the sum of the two numbers is not 10?

A) a) 13 b) 14 c) 0
B) a) 13 b) 14 c) 1
C) a) 14 b) 13 c) 1
D) a) 14 b) 13 c) 0

Question 31

Solve the problem.
A and B are events in a sample space S such that P(A) = 0.41, P(B) = 0.21, and P(A and

A) 0.21
B) 0.1
B) = 0.11. Use a Venn diagram to find the probability that A occurs but B does not.
C) 0.41
D) 0.3

Question 32

Solve the problem.
According to City High School's alumni records, 425 students graduated in 2001. Of these graduates, 178 were female, 140 of whom were accepted into college. Of the male graduates, 95 were accepted into college. What is
The probability that a 2001 graduate of City High School was accepted into college?

A) 2885
B) 7089
C) 1985
D) 4785

Question 33

Solve the problem.
A and B are events in a sample space S such that P(A) = 0.42, P(B) = 0.32, and P(A and

A) 0.1
B) 0.48
B) = 0.22. Use a Venn diagram to find the probability that B occurs but A does not.
C) 0.2
D) 0.32

Question 34

Solve the problem.
If Elizabeth eats dinner at home tonight, there is a 5% chance that she will eat dessert. If she eats dinner at a restaurant, there is a 60% chance that she will eat dessert. Suppose that there is a 55% chance that Elizabeth will
Eat out tonight. What is the probability that she will eat dessert tonight?

A) 0.0225
B) 0.3575
C) 0.33
D) 0.3525

Question 35

Eleven dimes dated 1989 through 1999 are tossed. Find the probability of the event.
Heads on the 1991 and 1997 dimes only

A) 19912048
B) 19972048
C) 10241
D) 20481

Question 36

Eleven dimes dated 1989 through 1999 are tossed. Find the probability of the event.
Heads on the 1992 dime only

A) 199211
B) 19922048
C) 20481
D) 111

Question 37

Solve the problem.
100 employees of a company are asked how they get to work and whether they work full time or part time. The figure below shows the results. If one of the 100 employees is randomly selected, find the probability that the
Person does not work full time.
1) Public transportation: 7 full time, 8 part time
2) Bicycle: 3 full time, 4 part time
3) Drive alone: 27 full time, 35 part time
4) Car pool: 10 full time, 6 part time

A) 0.53
B) 0.49
C) 0.35
D) 0.47

Question 38

Solve the problem.
Four boys and three girls are seated in a row, at random, to watch a play. What is the probability that a) a girl is seated at each end of the row?
B) one of the boys is seated in the middle seat?
C) boys and girls are seated alternately?

A) a) 37 b) 47 c) 17
B) a) 17 b) 37 c) 351
C) a) 17 b) 47 c) 351
D) a) 27 b) 17 c) 351

Question 39

Solve the problem.
A and B are events in a sample space S such that P(A) = 0.47, P(B) = 0.37, and P(A and

A) 0.09
B) 0.16
B) = 0.07. Use a Venn diagram to find the probability that neither A nor B occurs.
C) 0.23
D) 0.93

Question 40

Eleven dimes dated 1989 through 1999 are tossed. Find the probability of the event.
Heads on all eleven dimes

A) 2048978
B) 1
C) 20472048
D) 20481

Question 41

Eleven dimes dated 1989 through 1999 are tossed. Find the probability of the event.
Exactly 4 heads

A) 114
B) 12552048
C) 2048330
D) 20484

Question 42

Identify whether the average described is a mean, median, or mode.
The average European speaks more than one language.

A) Mode
B) Median
C) Mean

Question 43

Identify whether the number described is a parameter or a statistic.
In a random sample of 250 single mothers, 30% reported high levels of stress.

A) Parameter
B) Statistic

Question 44

Identify whether the number described is a parameter or a statistic.
The average height of American women is 63.8".

A) Statistic
B) Parameter

Question 45

Describe the shape of the distribution.
A stemplot is given below for the annual precipitation in one U.S. city for 28 consecutive years. Precipitation data are in inches.
0 9
1 1 4 2
2 0 2 0 3
3 0 1 4 7 2 8 3 2
4 1 3 4 8 7
5 1 7 4 8
6 3 6
7 1

A) Left skewed, unimodal
B) Right skewed, unimodal
C) Symmetric, unimodal
D) Bimodal

Question 46

Identify whether the number described is a parameter or a statistic.
A survey of 220 employees of a certain company revealed that 24% of those surveyed were dissatisfied with their jobs.

A) Parameter
B) Statistic

Question 47

Eleven dimes dated 1989 through 1999 are tossed. Find the probability of the event.
Tails on all but one dime

A) 204811
B) 12
C) 2048915
D) 11332048

Question 48

Identify whether the number described is a parameter or a statistic.
In a sample of 80 women aged 60-65, the average number of hours worked per week outside the home was 19.

A) Statistic
B) Parameter

Question 49

Describe the shape of the distribution.
A histogram for the sale prices of homes sold in one city during last year is shown below.

A) Left skewed, unimodal
B) Right skewed, unimodal
C) Bimodal
D) Symmetric, unimodal

Question 50

Identify whether the average described is a mean, median, or mode.
To get an A in his math class, Benjamin needs an average of 85 in the four exams. His average score on the first three exams was 82.

A) Mode
B) Mean
C) Median

Question 51

Solve the problem.
A sample of 350 students was selected and each was asked the make of their automobile (foreign or domestic) and their year in college (freshman, sophomore, junior, or senior). The results are shown in the table below.
What percent of seniors drive a domestic automobile?

A) 71.4%
B) 28.6%
C) 7.3%
D) 4.3%

Question 52

Eleven dimes dated 1989 through 1999 are tossed. Find the probability of the event.
Exactly 2 heads

A) 10922048
B) 204855
C) 12
D) 20481

Question 53

Describe the shape of the distribution.
A histogram for the heights of a sample of adult women is shown below.

A) Left skewed, unimodal
B) Symmetric, unimodal
C) Bimodal
D) Right skewed, unimodal

Question 54

Identify whether the average described is a mean, median, or mode.
The physics teacher grades on a curve. She gives A's to students whose scores are in the top 10%, B's to those whose scores fall in the next 20%, Fs to those with scores in the bottom 10%, Ds to the next 20%, and those with
Average scores get a C.

A) Mode
B) Median
C) Mean

Question 55

Describe the shape of the distribution.
A histogram is given below for the weights of a sample of college students.

A) Left skewed, unimodal
B) Right skewed, unimodal
C) Symmetric, unimodal
D) Bimodal

Question 56

Identify whether the average described is a mean, median, or mode.
The average British man likes to watch soccer.

A) Mean
B) Median
C) Mode

Question 57

Identify whether the average described is a mean, median, or mode.
The average number of goals scored by Anna's soccer team in the past 9 games is 1.2.

A) Median
B) Mean
C) Mode

Question 58

Identify whether the number described is a parameter or a statistic.
Approximately 8% of men are color blind.

A) Statistic
B) Parameter

Question 59

Identify whether the average described is a mean, median, or mode.
A college receives 300 applications for financial aid. The applications are sorted into three equal groups according to income. Those with the highest incomes will not receive aid. Those with the lowest incomes will
Receive the most aid and those with average incomes will receive a small amount of aid.

A) Mode
B) Median
C) Mean

Question 60

Solve the problem.
A medium-sized company characterized their employees based on the sex of the employee and their length of service to the company. The results are summarized in the table below.
What percentage of the men have worked for the company for more than 10 years?

A) 57.7%
B) 15.4%
C) 66.7%
D) 30.8%

Question 61

Find the mean for the given sample data.
The students in Hugh Logan's math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score.
614 598 353 354 541
355 340 539 470 482

A) 476.0
B) 464.6
C) 455.5
D) 474.1

Question 62

Find the median for the given sample data.
2, 3, 8, 21, 30, 30, 49 Find the median for the data.

A) 21
B) 8
C) 30
D) 25.5

Question 63

Find the median for the given sample data.
A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below.
56, 18, 221, 189, 280, 244, 235
Find the median number of newspapers sold.

A) 221 newspapers
B) 189 newspapers
C) 178 newspapers
D) 235 newspapers

Question 64

Find the mean for the given sample data.
Bill kept track of the number of hours he spent exercising each week. The results for four months are shown below. Find the mean number of hours Bill spent exercising per week. Round your answer to two decimal
Places.
8)80 8.30 8.70 8.70 6.90 8.80
7)30 8.70 8.90 8.80 8.70 8.70
7)80 8.30 8.30 8.50 6.90 7.30

A) 8.73 hours
B) 8.48 hours
C) 7.81 hours
D) 8.24 hours

Question 65

Find the mean for the given sample data.
Frank's Furniture employees earned the following amounts last week: $283.60 $451.20 $200.19 $424.90 $512.75
$294.88 $260.46 $358.72 $240.70
What was the mean amount earned by an employee last week? Round your answer to the nearest cent.

A) $432.49
B) $329.71
C) $378.43
D) $336.38

Question 66

Find the mean for the given sample data.
The amount of time (in hours) that Sam studied for an exam on each of the last five days is given below. Find his mean study time.
1)5 8.9 6.7 1.9 4.3

A) 5.45 hours
B) 23.30 hours
C) 4.96 hours
D) 4.66 hours

Question 67

Find the mean for the given sample data.
17, 14, 16, 17, 18

A) 17
B) 20.5
C) 15
D) 16.4

Question 68

Find the mean for the given sample data.
The Cane brothers spent these amounts on groceries over the last eight weeks: $77.15 $84.61 $67.48 $75.38
$63)56 $85.98 $87.97 $86.93
What was the mean amount spent? Round your answer to the nearest cent.

A) $78.63
B) $113.81
C) $104.84
D) $89.87

Question 69

Find the mean for the given sample data.
Jeremy's car got 304 miles (highway) on 8 gallons of gasoline. What was the average number of miles per gallon?

A) 39 mpg
B) 38 mpg
C) 40 mpg
D) 37 mpg

Question 70

Find the mean for the given sample data.
The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find the mean of the data.
3)5 1.6 2.4 3.7 4.1
3)9 1.0 3.6 4.2 3.4
3)7 2.2 1.5 4.2 3.4
2)7 0.4 3.7 2.0 3.6

A) 3.09 in.
B) 2.80 in.
C) 2.94 in.
D) 3.27 in.

Question 71

Find the mean for the given sample data.
Last year, nine employees of an electronics company retired. Their ages at retirement are listed below. Find the mean retirement age.
53 62 61
51 65 58
60 51 53

A) 55.9 years
B) 57.1 years
C) 56.5 years
D) 58.0 years

Question 72

Find the median for the given sample data.
The weights (in ounces) of 21 cookies are shown. Find the median weight. 0.83 1.23 0.80 1.62 0.87 0.88 1.35
1)23 1.53 0.94 0.83 1.00 1.37 0.76
0)47 1.00 0.88 1.37 1.72 0.87 0.56

A) 1.23 oz
B) 0.85 oz
C) 0.76 oz
D) 0.94 oz

Question 73

Find the mean for the given sample data.
The local Tupperware dealers earned these commissions last month: $3636.54 $2568.16 $1020.99 $3624.63 $1078.82 $2853.36
What was the mean commission earned? Round your answer to the nearest cent.

A) $2703.92
B) $2157.14
C) $2403.48
D) $2163.14

Question 74

Find the median for the given sample data.
A new business had the following monthly net gains: $7176 $3041 $2168 $8746 $6550
$2137 $1095 $7780 $5968 $5994
Find the median net gain.

A) $5968.00
B) $5065.50
C) $5981.00
D) $5628.33

Question 75

Find the median for the given sample data.
The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The results are shown below. Find the median number of vehicles going through the line in a fifteen-minute period.
27 29 27 30
30 27 32 29
37 33 33 31
26 33 27 22
17 29 29 29

A) 29 vehicles
B) 30 vehicles
C) 33 vehicles
D) 28.85 vehicles

Question 76

Find the mean for the given sample data.
The total amount spent on advertising last year by 10 companies was $394.9 million. What was the average amount spent per company last year on advertising?

A) $28.30 million
B) $3.85 million
C) $39.49 million
D) $394.9 million

Question 77

Find the mean for the given sample data.
Six college students spent $150.79, $189.07, $294.93, $206.37, $297.05, and $292.43 respectively for books. Compute the mean amount spent. Round your answer to the nearest cent.

A) $274.13
B) $286.13
C) $238.44
D) $357.66

Question 78

Find the median for the given sample data.
In ten trips to Las Vegas, a person had the following net gains: $1049 $2310 $4438 $6270 $2739
$1226 $6982 $8402 $6800 $4762
Find the median net gain.

A) $4600.00
B) $4498.30
C) $4438
D) $4998.61

Question 79

Find the median for the given sample data.
The salaries of ten randomly selected doctors are shown below. $112,000 $145,000 $194,000 $249,000 $230,000
$101,000 $137,000 $776,000 $209,000 $181,000
Find the median salary.

A) $187,500
B) $194,000
C) $233,000
D) $259,000

Question 80

Find the median for the given sample data.
The distances traveled (in miles) to 7 different swim meets are given below: 12, 27, 40, 49, 72, 73, 90
Find the median distance traveled.

A) 40 mi
B) 72 mi
C) 52 mi
D) 49 mi