Math 201 intro to probability (tutordaniel only)

 

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?

 

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

 

  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 first 4 questions on a multiple choice test using random guessing. Each question has 3 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

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?

__________________________________________________________________________________

 

 

 

 

The assignment is to collect quantitative data for a minimum of 10 days from ONE of your daily activities. Some examples of data collection include:

 

 

 

  • The number of minutes you spend studying every day.

  • The time it takes to cook meals each day.

  • The amount of daily time spent talking on the phone.

  • The amount of time you drive each day.

    In a paper (1–3 pages), describe the data you are going to collect and how you are going to keep track of the time. Within the paper, incorporate the concepts we are learning in the module including (but not limited to) probability theory, independent and dependent variables, and theoretical and experimental probability. Discuss your predictions of what you anticipate the data to look like and events that can skew the data. Collect data for at least 10 days. Do you think the data will provide a valid representation of these activities? Explain why or why not.

    Submit your paper at the end of Module 1. Future SLP assignments depend on this data and thus this assignment needs to be completed early in the session.

    SLP Assignment Expectations

    Answer all questions posted in the instructions. Use information from the modular background readings and videos as well as any good-quality resource you can find. Cite all sources in APA style and include a reference list at the end of your paper.

    Note about page length: Your ability to clearly articulate and explain these concepts is being assessed. The page length is a general guideline. A 3- or 4-page paper does not necessarily guarantee a grade of “A.” An “A” paper would include detailed information and explanations of all the assignment requirements listed above. The letter grade will be based upon demonstrated mastery of the content and ability to articulate and apply the concepts in the assignment. Keep this in mind while writing your paper.

    ________________________________________________________________________

     

     

     

     

    Introduction of Probability

     

     

     Discuss the concepts of independent and dependent events. Provide examples of independent and dependent events from the business environment.  Include additional examples for your classmates to classify.  Review and respond to the examples posted by your classmates, categorizing the events accordingly

     

     

     

     

 

 

 

 

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