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...

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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)


98102831402019674109163210


81104134158128107877991121



  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?










































Gender

Number of students

Location of birth
Male10Jacksonville
Female16Jacksonville
Male5Orlando
Female12Orlando
Male7Miami
Female9Miami


  1. 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.

  2. Find the probability of correctly answering the first4 questions on a multiple choice test using random guessing. Each question has3 possible answers.

  3. Explain the difference between independent and dependent events.

  4. Provide an example of experimental probability and explain why it is considered experimental.

  5. 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.



  1. 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?

  2. A color candy was chosen randomly out of a bag. Below are the results:






























Color

Probability
Blue0.30
Red0.10
Green0.15
Yellow0.20
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?

Answered Same DayOct 14, 2021

Answer To: Problems need to include all required steps and answer(s) for full credit. All answers need to be...

Aarti answered on Oct 20 2021
143 Votes
Solution:
1) Given:
68 travelled to Europe
124 not travelled to Europe
P(Travelled to Europe) =
68/ (68+124) = 68/192 = 35.416%
2) There are a total of 20 incomes with 12 being greater than $10,000. Therefore, the probability is 12/20 = 60%.
3) Given:
a) p(female and orlando)/ p(Orlando)= 12/17
b) p(male and Miami)/ p(Miami) = 7/16
c) p(Jacksonville) = (p(female and Jacksonville) + p(male and Jacksonville)) / Total Students
= (10+16)/59 = 26/59
4) These are independent events. The probability that the next person will have high blood pressure = 215/ 538
5) ...
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