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MAT201 MOD 1

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MAT201 MOD 1
TRIDENT UNIVERSITY INTERNATIONAL

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Course # MAT201

Case Module 1

Introduction of Probability

Instructor:

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?

Outcome: selecting someone who has been to Europe 68 and not been to Europe 124.
Probabilities: P (traveled to Europe) =68/124

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

Outcome: Randomly selected member earn at least $100,000
Probabilities: P (Earns $100,000) =12/20=6/10=3/5

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

A. Outcome: A female student was born in Orlando Probability: 12/59=.2=20%

B. Outcome: A male student was born in Miami
Probability: 7/59=.12=12%
C. Outcome: A student was born in Jacksonville
Probability: 26/59=.44=44%

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.

Outcome: who will have high blood pressure?
Probability: P (High blood pressure) =215/538=0.40

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