statistics introduction to probability, Math Homework Help

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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.

  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 this week 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.  Include at
least 3-5 days of data with your SLP 1 submission.  Continue collecting
data for the remaining days for use in SLP 2.
  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.

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