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Mathematics & Economics
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Math Problem
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Topic:

Math Basics Statstics

Math Problem Instructions:

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.

  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

  1. A poll was taken to determine the birthplace of a class of college students. Below is a chart of the results.
    1. What is the probability that a female student was born in Orlando?
    2. What is the probability that a male student was born in Miami?
    3. What is the probability that a student was born in Jacksonville?
Math Problem Sample Content Preview:

Math 201 Basics Statistics
Name
Course
Instructor
Date
10 problems
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?
Analysis
Probability= Number of those respondents have travelled to Europe/ total number of respondents
P (one has travelled to Europe) = 68/(68+124)=68/192= 0.35
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
Analysis
Data set in ascending order: 74, 79, 81, 83, 87, 91, 96, 98, 102, 104, 107, 109, 121, 128, 134, 140, 158, 163, 201, and 210
Probability= Number of times people earn more than $ 100,000/ Total number of selected members
P (earning more than $100,000) =12/20= 0.6
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?
Probability= Frequency of female students born in Orlando/ Total number of observed occurrences
P (female student was born in Orlando) = 12/59= 0.20
What is the probability that a male student was born in Miami?
Probability= Frequency of male student born in Miami/ Total number of students
P (male student was born in Miami) = 7/59 = 0.12
What is the probability that a student was born in Jacksonville?
Probability= Frequency of students born in Jacksonville/ Total number of students
Male born in Jacksonville=10, and Female students born in from Jacksonville=16
P(student was born in Jacksonville)= 26/59= 0.44
GenderNumber of studentsLocation of birthMale10JacksonvilleFemale16JacksonvilleMale5OrlandoFemale12OrlandoMale7MiamiFemale9Miami

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.
P (Patient has high blood pressure)= number reported to have high blood pressure/ total number of patients
Probability= 215/538 = 0.40
Find the probability of correctly answering the first 4 questions on a multiple choice test using random guessing. Each question has 3 possible answers.
Probability( answering one question right )= number of times answer...
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