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
Aleonysh [2.5K]
3 years ago
7

A diagnostic test has a 95% probability of giving a positive result when given to a person who has a certain disease. It has a 1

0% probability of giving a (false) positive result when given to a person who doesn’t have the disease. It is estimated that 15% of the population suffers from this disease.
(a) What is the probability that a test result is positive?
(b) A person recieves a positive test result. What is the probability that this person actually has the disease? (probability of a true positive)
(c) A person recieves a positive test result. What is the probability that this person doesn’t actually have the disease? (probability of a false negative)
Mathematics
1 answer:
stealth61 [152]3 years ago
6 0

Answer:

a)0.2275   b)95/105=19/21    c)10/105= 2/21

Step-by-step explanation:

a) The case "The test result is positive" consists in 2 parts.

The 1st one is "The person has the desease (15%=0.15)  and the test's  result is positive (95%=0.95)

The probability of that is P(desease, positive) = 0.15*0.95=0.1425

The 2nd one is "The person has no the desease (100%-15%=85%=0.85). However the test result is positive (10%=0.1)

The probability of that is P(not desease, positive)=0.85*0.1=0.085

The total probability that test is positive is the sum of 1st and 2-nd parts of the case: P(pos) = 0.1425+0.085=0.2275

b) As it has been shown in a) The test result can be positive in case that the person is really has the desease (95%) and in case the person has no the desease (10%).  This actually means that 95 persons from 105  having positive test result are really has the desease.

So the probability that the test result is positive and person has the desease is P (desease/positive)= 95/105

c) It's clearly seen that the sum of  probabilities of b) and c)  equal 1.

Both events make full group of events.

If the test result is positive the person can have the desease or can have not the desease. So ( no desease/positive)= 1-95/105=10/105

You might be interested in
A farmer has 24 bushels of apples and can harvest 22 bushels of apples each day?
sweet-ann [11.9K]

Answer:

................ I don"t know sorry I hate you

5 0
2 years ago
What is 8r-(5r+4) ≥-31
lesantik [10]

Answer:

r ≥ -9

Step-by-step explanation:

8r-(5r+4)\geq -31\\8r-5r-4 \geq -31\\3r - 4 \geq -31\\3r \geq -27\\r \geq -9

5 0
2 years ago
Seven is 3 less than twice the number m
aleksley [76]

Answer:

m=5

Step-by-step explanation:

Let the number be represented by m.

Then twice the number m is represented as 2* m or 2m.

3 less than twice the number m = 2m -3

As per the question this value is 7.

Representing this in equation format:

=> 2m-3 = 7

=> 2m = 7+3 = 10

=> m= 10/2 = 5

Hence the number m is given by 5.

Verification:

Twice the number = 2* 5 = 10

3 less than twice the number m = 10 -3 = 7

This is the same as 7 as per the requirement.

3 0
3 years ago
Read 2 more answers
1.Identify the mistake in the problem below. Then, correct the mistake.
Amiraneli [1.4K]
The mistake is P-21=34
It should be p+21=34
P=34-21
P=13
6 0
3 years ago
What is the value of x in -23&lt;x*7<br>I will appreciate if helped<br>​
aleksley [76]

Answer:

x>-\frac{23}{7}

Step-by-step explanation:

-23-23\\x>-\frac{23}{7}

4 0
2 years ago
Other questions:
  • A pool of possible jurors consists of 14 men and 10 women. How many different juries consisting of 5 men and 7 women are possibl
    14·2 answers
  • 3x-4y=2 what is the coordinate of the x intercept in this equation
    11·1 answer
  • Simplify the expression.<br> (7x4)?<br> (7x4)2 =
    11·2 answers
  • Mark and his brother signed up for the Catch Up
    11·1 answer
  • Convert to slope intercept form: 3x-4y=8 then graph the line on the grid
    9·1 answer
  • Solve the inequality. Graph your solution.<br> a + 5 &gt;-8
    6·1 answer
  • Numbers that come one after the other are called consecutive numbers.
    14·1 answer
  • THIS IS 90 POINTS:<br> what is 15m+35 graphed?
    7·2 answers
  • we do not know how much the price of a commodity is, but it has been reduced by 10% and now costs 20€. What was the starting pri
    5·1 answer
  • What is the domain of g
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!