Question

2. Suppose that in a certain country, 10% of the elderly people have diabetes. It is...

2. Suppose that in a certain country, 10% of the elderly people have diabetes. It is also known that 30% of the elderly people are living below poverty level, and 35% of the elderly population falls into at least one of these categories. A. What proportion of elderly people in this country have both diabetes and are living below poverty level? b. Suppose we choose an elderly person in this country ”at random.” What is the probability that the person will neither have diabetes nor be living at the poverty level?

Homework Answers

Answer #1

Given,

P(Diabetes) = 0.10 , P(below poverty level) = 0.30

P(Diabetes or below poverty level) = 0.35

a)

We have to calculated P( Diabetes and below poverty level) = ?

Using formula P(A or B) = P(A) + P(B) - P(A and B)

P(Diabetes or below poverty level) = P(Diabetes) + P(below poverty level) - P( Diabetes and below poverty level)

0.35 = 0.10 + 0.30 - P( Diabetes and below poverty level)

So,

P( Diabetes and below poverty level) = 0.10 + 0.30 - 0.35

= 0.05

b)

P(neither diabetes nor at poverty level) = 1 - P(Diabetes or below poverty level)

= 1 - 0.35

= 0.65

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The percentage of the Illinois population with diabetes is believed to be 9.1%. B1) Suppose we...
The percentage of the Illinois population with diabetes is believed to be 9.1%. B1) Suppose we decided to take a random sample of 20 people from the Illinois population. What is the probability that none of them have diabetes? (2 pts) What is the probability that at least 20% of the sample has diabetes? (2 pts) B2) Suppose we decided to take a random sample of 200 people from the Illinois population. How many people would we expect to have...
Suppose that in a certain population, 18% have green eyes and 25% have blonde hair. In...
Suppose that in a certain population, 18% have green eyes and 25% have blonde hair. In addition, 11% of people have green eyes and blonde hair. Let G represent the event that a person has green eyes, and B represent the event that a person has blonde hair. In each part of this question, you must first express each probability in terms of the events G and B and justify any computation through the use of a formula. (a) Express...
According to a reputable​ magazine, 34​% of people in a certain large country have sleepwalked at...
According to a reputable​ magazine, 34​% of people in a certain large country have sleepwalked at least once in their lives. Suppose a random sample of 200 people showed that 44 reported sleepwalking. The null and alternative hypotheses for a test that would test whether the proportion of people who have sleepwalked is 0.34 are H0:p=0.34 and Ha​: p≠0.34 respectively. The conditions for such a test are satisfied. Use the technology output provided to determine the test statistic and​ p-value...
It’s known that 3 % of people in a certain population have the disease. A blood...
It’s known that 3 % of people in a certain population have the disease. A blood test gives a positive result (indicating the presence of disease) for 90% of people who have the disease, and it is also positive for 5% of healthy people One person is tested and the test gives positive result If the test result is positive for the person, then the probability that this person actually has a disease is _________ If the test result is...
To determine whether or not they have a certain desease, 80 people are to have their...
To determine whether or not they have a certain desease, 80 people are to have their blood tested. However, rather than testing each individual separately, it has been decided first to group the people in groups of 16. The blood samples of the 16 people in each group will be pooled and analyzed together. If the test is negative, one test will suffice for the 16 people (we are assuming that the pooled test will be positive if and only...
To determine whether or not they have a certain disease, 160 people are to have their...
To determine whether or not they have a certain disease, 160 people are to have their blood tested. However, rather than testing each individual separately, it has been decided first to group the people in groups of 10. The blood samples of the 10 people in each group will be pooled and analyzed together. If the test is negative. one test will suffice for the 10 people (we are assuming that the pooled test will be positive if and only...
According to a​ survey, people in a certain country ate an average of 205 meals in...
According to a​ survey, people in a certain country ate an average of 205 meals in restaurants in 2001. The data in the accompanying table show the number of meals eaten in restaurants as determined from a random sample of people in this country in 2009. Complete parts​ (a) through​ (d) below. LOADING... Click the icon to view the data table. 213 132 199 344 141 80 183 309 56 197 168 310 95 231 266 292 226 316 206...
1. A certain medical test is known to detect 47% of the people who are afflicted...
1. A certain medical test is known to detect 47% of the people who are afflicted with the disease Y. If 10 people with the disease are administered the test, what is the probability that the test will show that: All 10 have the disease, rounded to four decimal places? At least 8 have the disease, rounded to four decimal places? At most 4 have the disease, rounded to four decimal places? 2. A certain medical test is known to...
A survey of 2276 adults in a certain large country aged 18 and older conducted by...
A survey of 2276 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 409 have donated blood in the past two years. Complete parts​ (a) through​ (c) below. a) Obtain a point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years. Modifying Above p with caret equals __ ​(Round to three decimal places as​ needed.) ​(b) Verify...
According to recent passport​ data, the percentage of people in a particular country who have a...
According to recent passport​ data, the percentage of people in a particular country who have a passport has risen dramatically. In 2007​, only 26​% of the​ country's citizens had a​ passport; in 2017 that percentage had risen to 43​%. Assume that currently 43​% of the citizens have a passport. Suppose 45 citizens of the country are selected at random. Complete parts​ (a) through​ (c) below. a. Find the probability that fewer than 15 have a passport. The probability that fewer...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT