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
Can any one solve this?<br> -23x + 345t - 234t + 34x
Lyrx [107]

Answer:

111 t  +  11 x

Step-by-step explanation:

8 0
3 years ago
From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. In how many dif
Romashka [77]

Answer:

11,880 different ways.

Step-by-step explanation:

We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.

We will use permutations for solve our given problem.

^nP_r=\frac{n!}{(n-r)!}, where,

n = Number of total items,  

r = Items being chosen at a time.        

For our given scenario n=12 and r=4.

^{12}P_4=\frac{12!}{(12-4)!}

^{12}P_4=\frac{12!}{8!}

^{12}P_4=\frac{12*11*10*9*8!}{8!}

^{12}P_4=12*11*10*9

^{12}P_4=11,880

Therefore, offices can be filled in 11,880 different ways.

     

   

3 0
3 years ago
I need help on #4 ASAP!!!!
kodGreya [7K]
Hi there. 

A triangle's interior angles must always add up to 180 degrees. Since we already have one measurement, 56, we can set up an equation to solve for the missing angles.

(2x + 4) + 56 + x= 180; solve for x.
Subtract 56 from both sides.
(2x + 4) + x = 124;
Combine like-terms (x).
3x + 4 = 124;
Subtract 4 from both sides.
3x = 120
Divide both sides by 3 to solve for x.
x = 40.

Now, we need to substitute x with 40 in each of our angles to determine their measurements.
2x + 4; x = 40.
2(40) + 4 = 80 + 4 = 84; 
One measurement is 84 degrees.

x = 40 is another measurement on its own.

Our measurements are:
56, 84, and 40.

Your corresponding answer choice is H.) 56, 84, 40.

I hope this helps!
7 0
2 years ago
BAYES FORMULA
djverab [1.8K]

Answer:

republicans

Step-by-step explanation:

Given, there are 60% democrats and republicans 40%

60% of the democrats voted for democrats and 95% of the republican voted for their candidate

therefore

% of votes that went for Democrats =0.6*0.6=0.36 = 36%

% of votes that went for Republics=0.4*0.95=0.38 = 38%

Since the republicans have more % of votes  thus Republic's mayor runs city hall.

6 0
3 years ago
Please help fast!!
nevsk [136]

Answer:

g(h(- 8)) = 119

Step-by-step explanation:

Evaluate h(- 8), then substitute the result obtained into g(x), that is

h(- 8) = (- 8)² - 2 = 64 - 2 = 62, then

g(62) = 2(62) - 5 = 124 - 5 = 119

6 0
2 years ago
Read 2 more answers
Other questions:
  • Joni earned twice the amount of money babysitting on Saturday as she did on Wednesday. She earned $15 more on Friday than Wednes
    6·1 answer
  • What is the simplified form of each expression? a. (6 + 3)2 − 4 b. 23 + (14 − 4) ÷ 2
    5·1 answer
  • Please answer this multiple choice question!! will give brainliest :)
    12·1 answer
  • How would your graph look different if you started with 10bacteria instead of 1?
    14·2 answers
  • The claim is that the proportion of peas with yellow pods is equal to 0.25​ (or 25%). The sample statistics from one experiment
    7·1 answer
  • In April 2011, an online social networking site had approximately 200 million registered accounts. In August, the number of regi
    9·1 answer
  • A local hardware store sold 12 percent of its hammers on Saturday . If the hardware store sold 9 hammers on Saturday how many ha
    5·1 answer
  • HELPPPPPPP what's the answer and plz explain
    14·1 answer
  • 4. Gabby ate 25 % of a whole pepperoni pizza.
    14·2 answers
  • The height of a tree is 8 metres, correct to the nearest metre.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!