Trident University Statistics: Module 1 Probability Case Assignment

This document provides a comprehensive solution to a probability case assignment, covering various aspects of probability theory. It includes solutions to problems involving calculating probabilities based on survey data, income levels, and birthplaces. The assignment explores both experimental and theoretical probability, requiring the calculation of probabilities for events like flipping a coin and choosing colored candies. The solution also addresses the difference between independent and dependent events, providing clear explanations and examples. Furthermore, the assignment involves matching probabilities to statements and analyzing the results of a coin flip experiment. The document offers step-by-step solutions, explanations, and analyses of the results, making it a valuable resource for students studying statistics and probability.

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.
Submit your work in a typed Microsoft Word document.
1. 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?
2. 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
3. A poll was taken to determine the birthplace of a class of college students. Below is a
chart of the results.
a. What is the probability that a female student was born in Orlando?
b. What is the probability that a male student was born in Miami?
c. 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
4. 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.
5. Find the probability of correctly answering the first 4 questions on a multiple choice test
using random guessing. Each question has 3 possible answers.
6. Explain the difference between independent and dependent events.
7. Provide an example of experimental probability and explain why it is considered
experimental.
8. 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.
9. 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?
10. 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.