1.
Determine which of the
following numbers could not represent the probability of an even.
0, 0.023, -0.7, 50%,
,
2.
Identify the sample space of
the probability experiment and determine the number of outcomes in the sample
space.
Randomly
choosing an even number between 1 and 10, inclusive
3.
Classify the statement as an
example of classical probability, empirical probability, or subjective
probability. Explain your reasoning.
A study on a college
campus shows that 77% of the students like rap music.
4.
A family has four children. Use
the tree diagram to answer each question.
Choose the correct sample
space.
a.
{ (FFFF), (FFFM), (FFMM),
(FMMM), (MMMM) }
b.
{ (F), (M) }
c.
{ (FFFF), (FFFM), (FFMF),
(FFMM),(FMFF), (FMFM), (FMMF), (FMMM), (MFFF) , (MFFM), (MFMF), (MFMM), (MMFF),
(MMFM), (MMMF), (MMMM) }
d.
{ (FFFF), (FFFM), (FFMM),
(FMMM), (MFFF), (MMFF), (MMMF), (MMMM) }
Choose the correct
outcome(s) of having exactly zero girls.
a.
{ (FFFF) }
b.
{ (MMMM) }
c.
{ (MMFF), (MFMF), (MFFM),
(FMMF), (FMFM), (FFMM) }
d.
{ (MMMF), (MMFM), (MFMM),
(FMMM) }
5.
Use the bar graph below, which
shows the highest level of education received by employees of a company, to
find the probability that the highest level of education for an employee chosen
at random is C.
6.
An individual stock is selected
at random from the portfolio represented by the box-and-whisker plot shown to
the right. Find the probability that the stock price is (a) less than $21, (b)
between $21 an $57, and (c) $34 or more.
7.
Determine whether the events E
and F are independent or dependent. Justify your answer.
a.
E: A person attaining a
position as a professor.
F: The same person attaining a PhD.
b.
E: A randomly selected person
having a high GPA.
F: Another randomly selected person having a low GPA.
c.
E: The rapid spread of a cocoa
plant disease.
F: The price of chocolate.
8.
The table below shows the
results of a survey in which 147 families were asked if they own a computer and
if they will be taking a summer vacation this year.
a.
Find the probability that a
randomly selected family is not taking a summer vacation this year.
b.
Find the probability that a
randomly selected family owns a computer.
c.
Find the probability a randomly
selected family is taking a summer vacation this year given that they own a
computer.
d.
Find the probability a randomly
selected family is taking a summer vacation this year and owns a computer.
e.
Are the events of owning a
computer and taking a summer vacation this year independent or dependent
events?
9.
Suppose you just received a
shipment of eight televisions. Three of the televisions are defective. If two
televisions are randomly selected, compute the probability that both
televisions work. What is the probability at least one of the two televisions
does not work?
10.
By rewriting the formula for
the multiplication rule, you can write a formula for finding conditional
probabilities. The conditional probability of event B occurring, given that
event A has occurred, is
. Use the information
below to find the probability that a flight departed on time given that it
arrives on time.
The probability that an
airplane flight departs on time is 0.89.
The probability that a
flight arrives on time is 0.87.
The probability that a
flight departs and arrives on time is 0.81.
11.
Determine whether the statement
is true or false. If it is false, rewrite it as a true statement.
If two events are mutually
exclusive, they have no outcomes in common.
12.
During a 52-week period, a
company paid overtime wages for 19 weeks and hired temporary help for 10 weeks.
During 6 weeks, the company paid overtime and hired temporary help. Complete
parts (a) and (b) below.
a.
Are the events “selecting a
week that contained overtime wages” and “selecting a week that contained
temporary help wages” mutually exclusive?
b.
If an auditor randomly examined
the payroll records for only one week, what is the probability that the payroll
for that week contained overtime wages or temporary help wages?
13.
The percent distribution of
live multiple-delivery births (three or more babies) in a particular year for
women 15 to 54 years old is shown in the pie chart. Find each probability.
a.
Randomly selecting a mother
30-39 years old
b.
Randomly selecting a mother not
30-39 years old
c.
Randomly selecting a mother
less than 45 years old
d.
Randomly selecting a mother at
least 20 years old
14.
Find P (A or B or C) for the
given probabilities.
P (A) = 0.34, P (B) =
0.27, P (C) = 0.17
P (A and B) = 0.11, P (A
and C) = 0.03, P (B and C) = 0.09
P (A and B and C) = 0.01
15.
When you calculating the number
of permutations of ndistinct objects
taken rat a time, what are you
counting?
16.
Evaluate the given expression
and express the result using format for writing numbers (instead of scientific
notation).
47P2
17.
Perform the indicated
calculation.
18.
Decide if the situation
involves permutations, combinations, or neither. Explain your reasoning.
The number of ways 20
people can line up in a row for concert tickets.
19.
Suppose Grant is going to burn
a compact disk (CD) that will contain 10 songs. In how many ways can Grant
arrange the 10 songs on the CD?
20.
A horse race has 12 entries and
one person owns 5 of those horses. Assuming that there are no ties, what is the
probability that those five horses finish first, second, third, fourth, and
fifth (regardless of order)?
21.
In how many orders can three
broken computers and two broken scanners be repaired if (a) there are
restrictions, (b) the scanners must be repaired first, and (c) the computers
must be repaired first? (d) If the order of repairs has no restrictions and the
order of repairs is done at random, what is the probability that a scanner will
be repaired first?
