Probability

PART 1:

The following table shows the number of marriages in a given State broken down by age groups and gender:

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​​​​​AGE at the time of the marriage

Less than 20

20-24

25-34

35-44

45 +

Total

Male

505

7,760

27,072

10,950

12,173

Female

1,252

11,405

27,632

9,651

10,352

Totals

Use the table to answer questions (1) to (11).

  1. Use the information in the table to fill in the blanks in the row and column totals.
  2. How many people (male and female) got married in the State?
  3. If a person that was married was randomly chosen, what is the probability that the person was a female less than 20 years old? Express your answer as a percent rounded to the nearest whole percent.
  4. If a person that was married was randomly chosen, what is the probability that the person was a male less than 20 years old? Express your answer as a percent rounded to the nearest whole percent.5. If a person that was married was randomly chosen, what is the probability that the person was between the ages of 25 and 34? Express your answer as a percent rounded to the nearest whole percent.
  5. Of the people over the age of 45 who got married, what percentage was female? What percentage was male? Express your answer as a percent rounded to the nearest whole percent.
  6. Given that a person married was less than twenty years old, what is the probability that the person was male?
  7. Given that a person married was female, what is the probability that the person was between the ages of 35 and 44?
  8. If a person that was married was randomly chosen, what is the probability that the person was over the age of 45 or female?
  9. If a person that was married was randomly chosen, what is the probability that the person is male and between the ages of 25 and 34?
  10. Describe two events, A and B, which are mutually exclusive for the number of marriages in the State. Calculate the probability of each event, and the probability of A or B occurring.
  11. Go to the state of Michigan’s website (http://michigan.gov) and search on “Vital Statistics”. Here you will find several categories containing interesting statistics about the state of Michigan. • Which statistic or statistics from the website do you find interesting? Explain why you find it interesting.• What information or “story” do the statistics tell you? Write 2-3 paragraphs summarizing the statistics.• Is there any information lacking that might make the statistic more meaningful? Why or why not?

PART 2:

There are data that give the relative frequency probabilities of various types of accidents (such as being killed by lightning, by a shark bite, or by falling airplane debris).

Choose two types of fatal accidents and research the relative frequency probabilities of each. Compare and discuss your findings. Were you surprised by the results? Why or why not?Your answers should be a minimum of three complete sentences. Be sure to include your references.

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