Probablity project

MTH109 College Mathematics II Name______________________

Probability Project (40 points)

PART 1:

The following table shows the number of marriages in Michigan in 2010 broken down by age groups and gender ( http://www.mdch.state.mi.us/pha/osr/marriage/tab3.2.asp ):

AGE at the time of the marriage

	Less than 20	20-24	25-34	35-44	45 +	Total
Male	913	9847	23923	9707	9792
Female	2110	13500	22581	8386	7605
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 points)

2. How many people (male and female) got married in 2010 in Michigan? (2 points)

3. If a person that was married in 2010 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. (2 points)

4. If a person that was married in 2010 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. (2 points)

5. If a person that was married in 2010 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. (2 points)

6. Of the people over the age of 45 who got married in 2010, what percentage was female? What percentage was male? Express your answer as a percent rounded to the nearest whole percent. (4 points)

7. Given that a person married in 2010 was less than twenty years old, what is the probability that the person was male? (2 points)

8. Given that a person married in 2010 was female, what is the probability that the person was between the ages of 35 and 44? (2 points)

9. If a person that was married in 2010 was randomly chosen, what is the probability that the person was over the age of 45 or female? (2 points)

10. If a person that was married in 2010 was randomly chosen, what is the probability that the person is male and between the ages of 25 and 34? (2 points)

11. Describe two events, A and B, which are mutually exclusive for the number of marriages in Michigan in 2010. Calculate the probability of each event, and the probability of A or B occurring. (4 points)

12. 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. (3 points)

· What information or “story” do the statistics tell you? Write 2-3 paragraphs summarizing the statistics. (5 points)

· Is there any information lacking that might make the statistic more meaningful? Why or why not? (2 points)

PART 2:

(4 points)

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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