The following contingency table comes from data provided by the World Health Organization. Each column represents a range of combined (both male and female) life expectancy in years, from birth, for a given country.
statistics
Description
Unit 2:
Probability
The following contingency table comes from data provided by
the World Health Organization. Each column represents a range of combined (both
male and female) life expectancy in years, from birth, for a given country. Each
row represents a region of the world, as defined by the World Health
Organization. The values given in the table represent how many countries in a certain
region have a combined life expectancy in the given range. Use the contingency
table to answer the following questions.
|
|
50-54.9 |
55-59.9 |
60-64.9 |
65-69.9 |
70-74.9 |
75-79.9 |
80-84.9 |
Total |
|
Africa |
7 |
12 |
16 |
7 |
3 |
1 |
0 |
46 |
|
Americas |
0 |
0 |
1 |
1 |
14 |
15 |
2 |
33 |
|
Eastern
Mediterranean |
0 |
2 |
4 |
3 |
7 |
6 |
0 |
22 |
|
Europe |
0 |
0 |
0 |
3 |
12 |
13 |
22 |
50 |
|
South-East
Asia |
0 |
0 |
0 |
6 |
4 |
1 |
0 |
11 |
|
Western
Pacific |
0 |
0 |
1 |
8 |
3 |
4 |
5 |
21 |
|
Total |
7 |
14 |
22 |
28 |
43 |
40 |
29 |
183 |
1.
What is the probability that an individual from
a randomly selected country has a life expectancy of 70 or more years? Show
your work and round your final answer to 4 decimal places. Answer in a
sentence.
43/183+40/183+29/183= .6120
2.
What is the probability that an individual from
a randomly selected European country has a life expectancy of 70 or more years?
Show your work and round your final answer to 4 decimal places. Answer in a
sentence.
3.
What is the probability that an individual from
a randomly selected African country has a life expectancy of 70 or more years?
Show your work and round your final answer to 4 decimal places. Answer in a
sentence.
3/46+1/46= .0870
4.
What might be some of the reasons for the
difference in the above two probabilities? Give a paragraph answer with
complete sentences. If you have done some research for your answer, please
indicate where you got your information.
5.
If we randomly select three countries, what is
the probability that all three of them have a combined life expectancy of 70
years or more? Show your work and round your final answer to 4 decimal places.
Answer in a sentence.
6.
If you randomly select a country which has a combined
life expectancy of 70 years or older, what is the probability that it is in the
Americas or Europe? Show your work and round your final answer to 4 decimal
places. Answer in a sentence.
For the following
three problems, suppose we select 1000 individuals via the following process:
we randomly select a country, and then randomly select an individual from that
country. We repeat that process until we have a sample of 1000 people.
7.
What is the probability that no more than 500 of
the 1000 people have a life expectancy of 70 years or older? (Hint: Use the
binomial distribution.) Show/explain how you come to your conclusion. Round the
probability to four decimal places.
8.
How many of the 1000 individuals would you
expect to have a life expectancy of 70 years or older? Show your work and explain
your answer. Use complete sentences.
9.
Would it be unusual for only 400 or fewer of the
1000 people to have a life expectancy of 70 years or older? Show work and explain
your answer. Use complete sentences.
Interesting Article about Life Expectancy predictions for
the U.S.
https://www.cnbc.com/2017/02/22/us-life-expectancy-is-low-and-is-now-projected-to-be-on-par-with-mexico-by-2030.html
Link to the World Health
Organization website
http://www.who.int/en/
