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
stealth61 [152]
3 years ago
11

After your yearly checkup, the doctor has some bad news and some good news. The bad news is that you tested positive for a serio

us disease, and the test is 99% accurate( i.e. that probability of testing positive given that you have the disease is .99, as is the probability of testing negative given that you don’t have the disease). The good news is that this is a rare disease, striking only one in 10,000 people. What are the changes that you actually have the disease?
Mathematics
1 answer:
Maru [420]3 years ago
7 0

Answer:

0.009804

Step-by-step explanation:

We are given;

probability of testing positive given that you have the disease is 0.99

Also, probability of not testing positive and not having the disease is 0.99

We are also told that it is a rare disease and so strikes only 1 in 1000 people = 0.0001

Let's denote positive test by T+, negative test by T¯, having the disease by D+, not having the disease by D¯.

So, we can now denote all the values in probability we have written earlier.

Thus:

P(T+ | D+) = 0.99

P(T¯ | D¯) = 0.99

P(D+) = 0.0001

Thus, P(D¯) = 1 - P(D+) = 1 - 0.0001 = 0.9999

Now, let's find probability of testing positive;

P(T+) = (P(T+ | D+) × P(D+)) + (P(T+ | D¯) × P(D¯))

Now, (P(T+ | D¯) is not given but by inspection, we can infer from the values given that it is 0.01

Thus;

P(T+) = (0.99 × 0.0001) + (0.01 × 0.9999)

P(T+) = 0.010098

Chances that one has the disease would be gotten from Baye's theorem;

P(D+ | T+) = (P(T+ | D+) × P(D+))/P(T+) = (0.99 × 0.0001)/0.010098 = 0.009804

You might be interested in
M is the midpoint of segment VW. Find the value of x.<br> 4x-1 3x+3
Sever21 [200]

Answer:

-3(3x-1)

Step-by-step explanation:

i checked my answer

4 0
2 years ago
Triangle XYZ is located in the first quadrant of the coordinate plane. If this triangle is
goblinko [34]

Answer:

the answer is C. they are both positive.

Step-by-step explanation:

This is because over the y axis is the first quadrant which is always positive.

4 0
3 years ago
$45.00 for 9 pounds what is the unit rate?
dmitriy555 [2]
$45/9 pounds
$5 per pound
7 0
2 years ago
Read 2 more answers
A circle has a radius of 4 x^3 y^5 cm. The area of a circle can be found using A equals pi r^2
GrogVix [38]

Answer:

Step-by-step explanation:

There are two other important distances on a circle, the radius (r) and the diameter (d). The radius, the diameter, and the circumference are the three defining aspects of every circle. Given the radius or diameter and pi you can calculate the circumference. The diameter is the distance from one side of the circle to the other at its widest points. The diameter will always pass through the center of the circle. The radius is half of this distance. You can also think of the radius as the distance between the center of the circle and its edge.

This diagram shows the circumference, diameter, center, and radius on a circle.

4 0
3 years ago
Another how many liters are in 3.7 gallons
9966 [12]
I got:
37 times 3.79 = 140.23
You may need to verify.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Each time you click the "FLIP" button, the
    11·2 answers
  • What is 8244 estimated
    12·2 answers
  • Please help me solve. Surface area of this pyramid?
    15·1 answer
  • Ashley is diving in the ocean. She wants to reach a coral reef that is 60 feet below sea level,that is , the reefs elevation is
    15·1 answer
  • The diameter of a small gear is 16 cm this is 2.5 centimeters more than 1/4 of the diameter of a large clear what is the diamete
    11·1 answer
  • William is reading a book for class. The book is 94 pages long. For the first assignment, William read 25 pages. For the second
    10·2 answers
  • Miss mead pays miss adams 160 per week she works 40 hours per week miss adams was idle for 4 hours ans 30 minutes during one wee
    15·1 answer
  • During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of 390. The next month, 400 un
    15·1 answer
  • A car is driving with a constant velocity of 3.00 m/s.  After 2.00 minutes, how far has it gone?​
    10·2 answers
  • In a different plan for area​ codes, the first digit could be any number from 4 through​ 8, the second digit was either 0, 1, or
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!