Module 1 – Case
INTRODUCTION TO PROBABILITY
Case Assignment
By submitting this assignment, you affirm that it contains
all original work, and that you are familiar with Trident University’s Academic
Integrity policy in the Trident Policy Handbook. You affirm that you have not
engaged in direct duplication, copy/pasting, sharing assignments, collaboration
with others, contract cheating and/or obtaining answers online, paraphrasing,
or submitting/facilitating the submission of prior work. Work found to be
unoriginal and in violation of this policy is subject to consequences such as a
failing grade on the assignment, a failing grade in the course, and/or elevated
academic sanctions. You affirm that the assignment was completed individually,
and all work presented is your own.
Problems need to include all required steps and answer(s)
for full credit. All answers need to be reduced to lowest terms where possible.
Answer the following problems showing your work and
explaining (or analyzing) your results.
In a poll, respondents were asked if they have traveled to
Europe. 68 respondents indicated that they have traveled to Europe and 124
respondents said that they have not traveled to Europe. If one of these
respondents is randomly selected, what is the probability of getting someone
who has traveled to Europe?
The data set represents the income levels of the members of
a golf club. Find the probability that a randomly selected member earns at
least $100,000.
INCOME (in thousands of dollars)
98 102
83 140 201
96 74 109
163 210
81 104
134 158 128
107 87 79
91 121
A poll was taken to determine the birthplace of a class of
college students. Below is a chart of the results.
What is the probability that a female student was born in
Orlando?
What is the probability that a male student was born in
Miami?
What is the probability that a student was born in
Jacksonville?
Gender Number
of students Location of birth
Male 10 Jacksonville
Female 16 Jacksonville
Male 5 Orlando
Female 12 Orlando
Male 7 Miami
Female 9 Miami
Of the 538 people who had an annual check-up at a doctor’s
office, 215 had high blood pressure. Estimate the probability that the next
person who has a check-up will have high blood pressure.
Find the probability of correctly answering the first 4
questions on a multiple choice test using random guessing. Each question has 3
possible answers.
Explain the difference between independent and dependent
events.
Provide an example of experimental probability and explain
why it is considered experimental.
The measure of how likely an event will occur is
probability. Match the following probability with one of the statements. There
is only one answer per statement.
0 0.25 0.60 1
a. This
event is certain and will happen every time.
b. This
event will happen more often than not.
c. This
event will never happen.
d. This
event is likely and will occur occasionally.
Flip a coin 25 times and keep track of the results. What is
the experimental probability of landing on tails? What is the theoretical
probability of landing on heads or tails?
A color candy was chosen randomly out of a bag. Below are
the results:
Color Probability
Blue 0.30
Red 0.10
Green 0.15
Yellow 0.20
Orange ???
a. What is
the probability of choosing a yellow candy?
b. What is
the probability that the candy is blue, red, or green?
c. What is
the probability of choosing an orange candy?
Submit your work by the module due date. If you are having
difficulty, contact your professor.
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