Question

Mammography is used as a form of early detection of breast cancer in women. We know...

Mammography is used as a form of early detection of breast cancer in women. We know that if a woman has breast cancer, mammography will detect it 90% of the time. If the woman does not have breast cancer, then mammography will give a positive result 7% of the time. We also know that there is a 0.8% chance that any given woman has breast cancer.

What is the probability that a woman has breast cancer if she has a positive mammogram?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Approximately 1% of women aged 40-50 have breast cancer. A woman with breast cancer has a...
Approximately 1% of women aged 40-50 have breast cancer. A woman with breast cancer has a 90% chance of a positive test from a mammogram, while a woman without has a 10% chance of a false positive result. What is the probability a woman has breast cancer given that she just had a positive test
Suppose a particular woman tests positive; what is the probability that she has breast cancer?   To...
Suppose a particular woman tests positive; what is the probability that she has breast cancer?   To pin this question , please consider a population in which 1% of women have breast cancer, and a mammography test which has a 90% chance of returning a correct result. That is, if a woman has cancer then there is a 90% chance the test will be positive, and if a woman does not have cancer then there is a 90% chance the test...
*8.21 Assume that the probability of breast cancer equals .01 for women in the 50–59 age...
*8.21 Assume that the probability of breast cancer equals .01 for women in the 50–59 age group. Furthermore, if a woman does have breast cancer, the probability of a true positive mammogram (correct detection of breast cancer) equals .80 and the probability of a false negative mammogram (a miss) equals .20. On the other hand, if a woman does not have breast cancer, the probability of a true negative mammogram (correct non detection) equals .90 and the probability of a...
The following hypothetical scenario concerns a population of women aged 50 and older. We know that...
The following hypothetical scenario concerns a population of women aged 50 and older. We know that 1% of this population has breast cancer at this time. The probability of testing positive on a mammogram is 90% for women who actually do have cancer (true positive result), and 8% for women who do not have it (false positive result). (a) Find the proportion of all negative mammogram results for this population. (8 points) (b) Given that a randomly selected woman has...
Part 4: Probability In this part, you will work with probabilities. 1) Consider rolling two four...
Part 4: Probability In this part, you will work with probabilities. 1) Consider rolling two four sided dice. One die is blue and the other is green. (a) State the sample space. (b) Compute the probability of getting two even numbers. (c) Compute the probability of getting an even sum if the blue die rolls a 2. 2) What is the probability of drawing a four or a heart when drawing a single card from a standard deck of cards....
Question 4: A-E parts A) Consider rolling two four sided dice. One die is blue and...
Question 4: A-E parts A) Consider rolling two four sided dice. One die is blue and the other is green. (1) State the sample space. (2) Compute the probability of getting two even numbers. (3) Compute the probability of getting an even sum if the blue die rolls a 2. B) (1)What is the probability of drawing a four or a heart when drawing a single card from a standard deck of cards? C) Consider a machine that fills 275...
80. Of women who undergo regular mammograms, two percent have breast cancer. If a woman has...
80. Of women who undergo regular mammograms, two percent have breast cancer. If a woman has breast cancer, there is a 90% chance that her mammogram will come back positive. If she does not have breast cancer there is a 10% chance that her mammogram will come back positive. Given that a woman’s mammogram has come back positive, what is the probability that she has breast cancer? 81. The Triangle is a neighborhood that once housed a chemical plant but...
4. One and a half percent (1.5%) of women over 55 have breast cancer. Ninety-two percent...
4. One and a half percent (1.5%) of women over 55 have breast cancer. Ninety-two percent (92%) of all women who have breast cancer test positive on mammograms. Nine percent (9%) of women will have false positive mammograms. Define the events: C: {a woman has breast cancer} and +: {the mammogram is positive}. a) Write down what is given in the problem, both explicitly and implicitly, using the events defined in the problem description. b) If a randomly selected woman’s...
Mammograms are a relatively inexpensive and nonintrusive way to test for breast cancer. Suppose that mammogram...
Mammograms are a relatively inexpensive and nonintrusive way to test for breast cancer. Suppose that mammogram screenings are 93% specific and 87% sensitive. This means that those without breast cancer test negative 93% of the time and those with breast cancer test positive 87% of the time. Answer the following questions as if 12.6% of all women have breast cancer. a) Given that a women tests negative, what is the probability that she has breast cancer? (b) Given that a...
Cancer Screening ~ Breast cancer is the most common cancer in females in the United States...
Cancer Screening ~ Breast cancer is the most common cancer in females in the United States and throughout the world. Digital mammography test (the process of using low-energy X-rays to examine the human breast for diagnosis and screening) is one of the typical techniques for early detection of breast cancer in recent years. According to a study, digital mammography test has a sensitivity of 0.97, and a specificity of 0.63 for breast cancer detection. Round all numeric answers to four...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT