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
Lelechka [254]
2 years ago
13

Consider the probabilities of people taking pregnancy tests. Assume that the true probability of pregnancy for all people who ta

ke the test is 10%. If pregnancy tests give a positive result in 99% of the cases where the woman is pregnant and give a negative result in 98% of the cases in which she is not pregnant, what is the probability that a woman who gets a positive test result is truly pregnant
Mathematics
1 answer:
Valentin [98]2 years ago
7 0

Using conditional probability, it is found that there is a 0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.

<h3>What is Conditional Probability?</h3>

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

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

In which

  • P(B|A) is the probability of event B happening, given that A happened.
  • P(A \cap B) is the probability of both A and B happening.
  • P(A) is the probability of A happening.

In this problem, the events are:

  • Event A: Positive test result.
  • Event B: Pregnant.

The probability of a positive test result is composed by:

  • 99% of 10%(truly pregnant).
  • 2% of 90%(not pregnant).

Hence:

P(A) = 0.99(0.1) + 0.02(0.9) = 0.117

The probability of both a positive test result and pregnancy is:

P(A \cap B) = 0.99(0.1)

Hence, the conditional probability is:

P(B|A) = \frac{0.99(0.1)}{0.117} = 0.8462

0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.

You can learn more about conditional probability at brainly.com/question/14398287

You might be interested in
20 POINTS !!! <br><br> Find the distance between the points (3,-4) and (5, 4)
jeka57 [31]

Answer:

d=2\sqrt{17}\approx8.2462

Step-by-step explanation:

To find the distance between two points, use the distance formula.

The distance formula is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Let (3,-4) be x₁ and y₁ and let (5,4) be x₂ and y₂. Therefore:

d=\sqrt{(5-3)^2+(4--4)^2

Simplify:

d=\sqrt{(2)^2+(8)^2

Square:

d=\sqrt{4+64}

Add:

d=\sqrt{68}

Simplify:

d=\sqrt{4\cdot17}=\sqrt4\cdot\sqrt{17}

Simplify:

d=2\sqrt{17}\approx8.2462

8 0
3 years ago
Read 2 more answers
Substitution: y-2x=-6 and 5x-y=9
Dmitrij [34]
<span>y-2x=-6 and 5x-y=9   

step 1: isolate y in the first equation

y = 2x - 6

step 2:  substitute the y value on the 2th equation:

5x-(2x-6)=9

step 3:  solve the present equation:

5x - 2x + 6 = 9
3x = 9-6
3x = 3
x = 1

step 4: get the y value by replacing the value of x in </span>y = 2x - 6:
<span>
y = 2*1 - 6
y = 2 - 6
y = -4

S={1, -4}



</span>
7 0
3 years ago
Read 2 more answers
Need help ASAP please
pochemuha

Answer:

B

Step-by-step explanation:

7 0
3 years ago
Angie states the following:
kicyunya [14]
The answer is letter D, Angie is incorrect since triangles with two pairs of congruent sides and one pair of congruent angles do not necessarily meet the SAS orientation.
5 0
3 years ago
Read 2 more answers
Find the volume of a square pyramid with base edge = 9 cm
kondaur [170]
16 cm

HHHHHHHHHHHHHHHHHHHHHHHHH
4 0
2 years ago
Other questions:
  • If the diameter of a wheel is 0.5 meters, then the radius of the wheel is how many centimeters
    12·2 answers
  • A rectangle has a width of 6 units and a length of 2x+8 units. If the area is 108 units squared, what is the value of x?
    6·1 answer
  • What would you do first to solve this question: 2+3(x+1)=6x?
    8·2 answers
  • Which polynomial is in standard form?
    6·1 answer
  • 9. Solve the equation for x.<br> 3x + y = 2<br> Z
    5·1 answer
  • Daniel is 16. His parents are both the same age. The 3 of them have lived a 3
    7·1 answer
  • Is 1.36 a rational number or irrational number
    7·2 answers
  • Simplify<br> 4x^2(-2x^2-9)
    10·2 answers
  • Kwanzaa is celebrated for 7 days each year. Kwanzaa was celebrated for the first time in 1966. What is the total number of days
    10·1 answer
  • Using the equation y^2=-5/4(x-2), find the equation of the directrix
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!