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
pashok25 [27]
3 years ago
11

There is a new diagnostic test for a disease that occurs in about 0.05% of the population. The test is not perfect, but will det

ect a person with the disease 99% of the time. It will, however, say that a person without the disease has the disease about 3% of the time. A person is selected at random from the population, and the test indicates that this person has the disease. What are the conditional probabilities that(a) the person has the disease? (b) the person does not have the disease?
Mathematics
1 answer:
Natali5045456 [20]3 years ago
7 0

Answer:

(a) P(D|TD) = 0.0162 and (b) P(ND|TD) = 0.9838

Step-by-step explanation:

Let's define the following events:

D: the person has the disease

ND: the person does not have the disease

TD: the test indicates the person has the disease. Then

P(D) = 0.0005 because the disease occurs in about 0.05% of the population.

P(ND) = 0.9995

P(TD|D) = 0.99 because the test detect a person with the disease 99% of the time.

P(TD|ND) = 0.03 because the test say that a person without the disease has the disease about 3% of the time.

We are looking for (a) P(D|TD) and (b) P(ND|TD)

By Bayes' formula

(a) P(D|TD) = \frac{P(TD|D)P(D)}{P(TD|D)P(D)+P(TD|ND)P(ND)} = \frac{(0.99)(0.0005)}{(0.99)(0.0005)+(0.03)(0.9995)} =

0.0162

and

(b) P(ND|TD) = 1-P(D|TD)=1-0.0162 = 0.9838

You might be interested in
Select an expression that is equivalent to <img src="https://tex.z-dn.net/?f=4%5Csqrt%7Bx%5Cfrac%7B2%7D%7B3%7D%20%7D" id="TexFor
qwelly [4]
Maybe A I’m not one hundred percent sure but good luck
7 0
3 years ago
Read 2 more answers
What is your estimate for the total amount of time students in your school spent during this past semester studying for final ex
MA_775_DIABLO [31]

Answer:

https://prezi.com/

Step-by-step explanation:

search up  the answer plus there is a video too

5 0
3 years ago
What is the answer to this inequality 84 is no less than 7 times a number k
lyudmila [28]
84 is no less than 7 times K, 84 divided by 7= 12,
  
 K=12
5 0
3 years ago
Read 2 more answers
Please help me babes!!
abruzzese [7]
The correct answer would be C) CBA-EFD 
6 0
3 years ago
Read 2 more answers
If f ( x ) = 2x + 2 and g ( 1 ) = 3x – 1, find (f/g) (2)
schepotkina [342]

Answer:

  • 6/5 or 1.2

Step-by-step explanation:

<u>Given functions:</u>

  • f (x) = 2x + 2
  • g (x) = 3x – 1

<u>To find:</u>

  • (f/g) (2)

<u>Solution</u>

  • (f/g)(x) = f(x)/g(x) = (2x + 2) / (3x - 1)
  • (f/g)(2) = (2*2 + 2) / (3*2 -  1) = 6/5 = 1.2
6 0
3 years ago
Read 2 more answers
Other questions:
  • Jim reads 3 newspaper articles every day, and Jessica reads 5 times more than Jim does. How many newspaper articles does Jessica
    11·2 answers
  • a group of friends are riding bicycles. She takes 4 hours to ride 25.6 kilometers whats there speed?
    8·1 answer
  • Mark's soup recipe makes 6 servings and uses 4 carrots and 2 potatoes. How many carrots and how many potatoes?
    5·1 answer
  • Kia stuffs 228 envelopes in an hour. What is the average number of envelopes Kia stuffs per minute?
    12·1 answer
  • 1.) A kitten eats 1/4 cup of cat food. Another cat in the same household eats 6 times as much. How much food does the cat eat?
    7·2 answers
  • A $10,000 investment is made partly in a GIC at 5% and partlly in a mutual fund that will earn 7.5%. If the same amount of inter
    9·1 answer
  • A rectangular prism has a length of 1 1/4 centimeters, a width of 4 centimeters, and a height of 3 1/4 centimeters. What is the
    10·1 answer
  • Write 63/100 as a decimal
    13·1 answer
  • PLEASE HELP ILL GIVE YOU THE BRIANLYEST ANSWER ABC is shown on the coordinate gridMrs. Massey will reflect the triangle across t
    13·1 answer
  • What is ST?<br> S<br> 30<br> V<br> Q<br> 17 T<br> 19<br> R 5<br> ST=
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!