Statistics Module 1 – All problems and paper completed (original) – A+ Guaranteed from a 5-star rated tutor!

Answer the following probability 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? - 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

- 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?
- What is the probability that a male student was born in Miami?
- 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 |

- 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.
- Find the probability of correctly answering the first 4 questions on a multiple choice test using random guessing. Each question has 3 possible answers.
- Explain the difference between an independent and a dependent variable.
- Provide an example of experimental probability and explain why it is considered experimental.
- 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.

- 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?
- 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?

11. The assignment this week is to collect quantitative data from your daily activities for a minimum of 10 days. Some examples of data to collect are:

- 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.

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