1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ElenaW [278]
3 years ago
9

The National Cancer Institute estimates that 3.65% of women in their 60s get breast cancer. A mammogram can typically identify c

orrectly 85% of cancer cases and 95% of cases without cancer. What is the probability that a woman in her 60s who has a positive test actually has breast cancer?
Mathematics
1 answer:
masha68 [24]3 years ago
7 0

Answer:

39.17% probability that a woman in her 60s who has a positive test actually has breast cancer

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test.

Event B: Having breast cancer.

3.65% of women in their 60s get breast cancer

This means that P(B) = 0.0365

A mammogram can typically identify correctly 85% of cancer cases

This means that P(A|B) = 0.85

Probability of a positive test.

85% of 3.65% and 100-95 = 5% of 100-3.65 = 96.35%. So

P(A) = 0.85*0.0365 + 0.05*0.9635 = 0.0792

What is the probability that a woman in her 60s who has a positive test actually has breast cancer?

P(B|A) = \frac{0.0365*0.85}{0.0792} = 0.3917

39.17% probability that a woman in her 60s who has a positive test actually has breast cancer

You might be interested in
What is the relationship between angle axd and angle abx?<br><br> please help!!
vivado [14]

Answer:

Vertical

Step-by-step explanation:

They are vertical angles to each other

4 0
2 years ago
Read 2 more answers
Which is the best description of 4 (21x÷7)
Lera25 [3.4K]
If by description you mean simplification then: 84x/28
4 0
3 years ago
QUESTION 11
notsponge [240]

Answer:

8

Step-by-step explanation:

3( 2 + 2 ) - 4

3( 4 ) - 4

12-4

8

3 0
2 years ago
the amount of rhubarb in the original is 3 1/2 cups using what you know of whole numbers and what you know of fractions explain
LuckyWell [14K]
To triple this number, you can triple the whole number, triple the fraction, then add them together.

3*3=9
1/2*3=3/2 (or 1 1/2)

Add them together.

9+1 1/2= 10 1/2
5 0
3 years ago
All you need is in the photo <br>please answer fast ​
Mashutka [201]

Answer:

12 ounces

Step-by-step explanation:

Answer above.

4 0
3 years ago
Other questions:
  • On a map with a scale of 1cm = 15 km, two towns are 7.5 cm apart. How far apart are they in real life?
    13·1 answer
  • An airplane is flying at 35000 feet above sea level. The airplane starts to descend at a rate of 2500 feet per minute. Let m be
    7·1 answer
  • Will give brainliest please help asap
    7·1 answer
  • Which box and whisker plot represents the data below. 11 11 12 13 15 17 19 19.5 20
    8·2 answers
  • If h(x) = −5x − 10, find h(-5). please show me the steps on how to solve
    9·1 answer
  • Find the surface area.<br><br> Any help will be appreciated. Thank you
    13·1 answer
  • Water goes over niagra falls at a rate of 180 million cubic feet every 1/2 hour. How much water goes over the falls in 1 minute?
    14·2 answers
  • Can someone help me out???
    7·2 answers
  • I can’t figure out the red part please help much appreciated
    11·1 answer
  • Sara paid $20 to join Planet Fitness. She then pays a monthly fee.Her total cost for 24 months was $260. What was the monthly fe
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!