Download Question 1 5 points Save The following table relates the grades in

Question 1
5 points Save
The following table relates the grades in an advanced mathematics course
to the student's year in college:
Let E be the event that the student received a grade of B. Let F be the
event that the student is a sophomore. Find P(F|E).
Question 2
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Calculate the linear correlation coefficient for the following values: (2,
11),(2, 6),(10, 6),(18, 2)
-0.83
Question 3
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A survey revealed that 45% of people are entertained by reading books,
25% by watching TV, and 14% are entertained by both books and TV.
What is the probability that a person will be entertained by books given
that the person is entertained by TV? Give results to the nearest tenth of
a percent.
0.560
Question 4
5 points Save
The frequency setting for a garage door opener is determined by the
positions of nine switches, each of which can be set to a "+" or "-"
position. In how many ways can the switches be set?
512 ways
Question 5
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A student is taking a standardized test consisting of multiple choice
questions for which there are five options for each question. Seven points
are awarded for each correct answer, but the student loses 2 points for
an incorrect answer. Questions left blank neither receive nor lose points.
Is it in the student's best interest to guess?
no
Question 6
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Using the digits 3, 4, 5, 6, 7, 8, and 9, how many 5-digit numbers can be
constructed if the number must begin with an odd digit and digits may not
be repeated?
1440
Question 7
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If two fair dice are rolled, what is the probability that a total of three
shows?
Question 8
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Find the line of best fit for the following data.
(24, 15), (26, 13), (28, 20), (30, 16), (32, 24)
y = 1.05x - 11.8
Question 9
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A box contains 26 blue marbles, 16 green marbles, and 8 red marbles.
Two marbles are selected at random without replacement. Let E be the
event that the first marble selected is green. Let F be the event that the
second marble selected is green. Find P(F|E) .
Question 10
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Find the mean, median, and mode for the given distribution of 8, 6, 5, 3,
12, 8, 8, 6, 3, 12, 8, 5, 15, 3, 8, 8, 5, 6, 3, 8
Mean = 7, median = 7, mode = 8
Question 11
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If a card is selected randomly from a standard 52-card deck, what is the
probability that we draw a five?
Question 12
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This double-bar graph shows the number of male (M) and female (F)
athletes at a university over a four-year period. Which year had the
greatest number of female athletes?
1988
Question 13
5 points Save
For a school project, Sue interviewed a total of 100 persons who were
either lawyers or salesmen. She asked them if they were happy or
unhappy with their occupation. Of the 55 lawyers interviewed, 12 were
unhappy, however, only 7 of the salesmen were unhappy. Suppose that
one of the persons interviewed is selected at random. Find the
probability that the person selected is happy.
0.81
Question 14
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If a single card is drawn from a standard 52-card deck, what is the
probability that it is either a six or a club?
Question 15
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The ages of people randomly surveyed on a college campus are
summarized in the bar graph. How many people were 24 years old?
2
Question 16
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Assume that a distribution has a mean of 23 and a standard deviation of
6. What percentage of the values in the distribution do we expect to fall
between 23 and 35? Assume that the given distribution is normal.
47.5%
Question 17
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Consider the genetic possibilities for a child of parents who are both
carriers of sickle cell anemia. What is the probability that the child will be
a carrier of sickle cell anemia? (Solve using a Punnett sqaure)
Question 18
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Professor Kafka teaches an advanced probability class with an
enrollment of 11 students. The front row has 9 chairs. A particular
student, Carl, must sit in the front row between his tutor, Sue, and his
best friend, Pat. In how many different ways can Professor Kafka assign
students to sit in the first row?
I don’t think this question is clear.
40,320
282,240
141,120
20,160
Question 19
5 points Save
A box contains 26 blue marbles, 16 green marbles, and 8 red marbles.
Two marbles are selected at random without replacement. Let E be the
event that the first marble selected is green. Let F be the event that the
second marble selected is green. Find P(F|E) .
Question 20
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48% of the area under the standard normal curve is above the score.
Use a table to find a z-score that fits the given conditions. Interpolate if
necessary.
0.05
Question 21
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Evaluate the expression
.
45
Question 22
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We roll a pair of dice. If the sum of the dice is 7, you pay me $25. If the
sum is not 7, I pay you the number of dollars indicated by the sum of the
dice. What is your expected value for the game?
$1.67
Question 23
5 points Save
A survey revealed that 45% of people are entertained by reading books,
25% by watching TV, and 14% are entertained by both books and TV.
What is the probability that a person will be entertained by books given
that the person is entertained by TV? Give results to the nearest tenth of
a percent.
0.560
Question 24
5 points Save
We roll a pair of dice. If the sum of the dice is 7, you pay me $25. If the
sum is not 7, I pay you the number of dollars indicated by the sum of the
dice. What is your expected value for the game?
$1.67
Question 25
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The table lists blood types in a sample of hospital patients. Construct a
bar graph for the relative frequency data.
Question 26
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The office manager at an accounting firm counted the number of
employees that were in the coffee room each hour during the work
week. The results are summarized in the following bar graph. Find the
mean and standard deviation of the given data. Round to the nearest
tenth, if necessary.
Mean = 3.8, standard deviation = 2.6
Question 27
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Suppose that the mean salary in a particular profession is $45,000 with
a standard deviation of $2,000. To what percentile does a salary of
$48,000 correspond?
93rd
Question 28
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Assume that a distribution has a mean of 24 and a standard deviation of
6. What percentage of the values in the distribution do we expect to fall
below 12? Assume that the given distribution is normal.
2.5%
Question 29
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A pair of fair dice are rolled. Let E be the event that a five shows on the
second die. Let F be the event that the total showing is odd. Are E and F
dependent events?
yes
Question 30
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Construct a box-and-whisker plot for the given data.
The test scores of 32 students are listed below.
32 37 41 44 46 48 53 55
57 57 59 63 65 66 68 69
70 71 74 74 75 77 78 79
81 82 83 86 89 92 95 99
Question 31
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There are 5 people in a club -- Cal, Elissa, Stephanie, Ken, and Pat. In
how many ways can a President and a Treasurer be chosen for the
club? (No person can hold both positions.)
20
Question 32
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How many branches are required in a tree diagram showing how many
ways three dice could be rolled?
216
Question 33
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How many different three-digit numbers can you form using the digits 1,
2, 3, 5, 6, 7, and 9 without repetition?
210
Question 34
5 points Save
A student is taking a standardized test consisting of multiple choice
questions for which there are five options for each question. Four points
are awarded for each correct answer, but the student loses 2 points for
an incorrect answer. Questions left blank neither receive nor lose points.
What is the minimum number of options that the student should be able
to rule out before making a guess on any particular question?
Two
Question 35
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A law firm has eight male and six female lawyers. A committee of five,
two male lawyers and three female lawyers, is to be chosen to represent
the firm at a conference. How many committees are possible?
560
Question 36
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How many different two-digit numbers can you form using the digits 1, 2,
3, 5, 6, 7, and 9 with repetition allowed?
49
Question 37
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Evaluate the expression P(6, 1)
6
Question 38
5 points Save
Find the mean and standard deviation of the given data. (Rounded to
the nearest tenth)
The following are the heights, in inches, of a group of college students:
72, 68, 62, 64, 66, 74, 70, 60, 63, 67, 69, 67
Mean = 66.8, standard deviation = 4.1
Question 39
5 points Save
For a school project, Sue interviewed a total of 100 persons who were
either lawyers or salesmen. She asked them if they were happy or
unhappy with their occupation. Of the 55 lawyers interviewed, 12 were
unhappy, however, only 7 of the salesmen were unhappy. Suppose that
one of the persons interviewed is selected at random. Find the
probability that the person selected is happy.
0.81
Question 40
5 points Save
Find the number of permutations when 6 objects are taken 5 at a time.
720
Question 41
5 points Save
If a single card is drawn from a standard 52-card deck, what is the
probability that it is either a six or a club?
Question 42
5 points Save
Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are
placed in a box and mixed well. Two are drawn. What are the odds that
the sum of the numbers on the two selected slips is 7?
1 to 6
Question 43
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What is the probability that 12 rolls of a die will show exactly three
fours?
0.1974
Question 44
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Assume that in your earth science class you have earned the following
test scores: 99, 92, 81, 92; and only one test remains. If you need a
mean score of 90 to earn a "A", then what minimum score must you
obtain on the last test?
86
Question 45
5 points Save
If a card is selected randomly from a standard 52-card deck, what is the
probability that we draw a five?
Question 46
5 points Save
Let M = {S, P, O, M}. List all of the ways that you can select two different
members of M. The order in which you select the members is important.
SP, SO, SM, PS, PO, PM, OS, OP, OM, MS, MP, MO
Question 47
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How many license plates are possible consisting of 4 letters followed by
4 digits, if the first letter must be a C?
175,760,000
Question 48
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Find the standard deviation. (Round to one more place than the data)
17, 12, 18, 19, 19, 12, 10, 7, 11
4.4
Question 49
5 points Save
The following table relates the grades in an advanced mathematics
course to the student's year in college:
Let E be the event that the student received a grade of B. Let F be the
event that the student is a sophomore. Find P(F|E).
Question 50
5 points Save
A box contains 3 blue cards numbered 1 through 3, and 4 green cards
numbered 1 through 4. List the sample space of picking a blue card
followed by a green card.
{(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2),
(3, 3), (3, 4)}