A test is used to determine if people have a predisposition for the formation of a blood clot inside a blood vessel that obstructs the flow of blood through the circulatory system. It is believed that 3% of people actually have this predisposition. The test is 99% accurate if a person actually has the predisposition, meaning that the probability of a positive test result when a person actually has the predisposition is 0.99. The test is 98% accurate if a person does not have the predisposition. What is the probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition

Answers

Answer 1

Answer:

The probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition is 0.6049.

Step-by-step explanation:

We are given that it is believed that 3% of people actually have this predisposition. The test is 99% accurate if a person actually has a predisposition.

The test is 98% accurate if a person does not have a predisposition.

Let the probability that people actually have predisposition = P(PD) = 0.03

The probability that people do not have a predisposition = P(PD') = 1 - P(PD) = 1 - 0.03 = 0.97

Let A = event that the test is accurate

So, the probability that the test is accurate if a person actually has a predisposition = P(A/PD) = 0.99

The probability that the test is correct if a person actually has a predisposition = P(A/PD') = 1 - 0.98 = 0.02

Now,  the probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition = P(PD/A)

We will use Bayes' theorem to calculate the above probability.

      P(PD/A) = [tex]\frac{P(PD) \times P(A/PD)}{P(PD) \times P(A/PD) + P(PD') \times P(A/PD')}[/tex]

                    = [tex]\frac{0.03 \times 0.99}{0.03 \times 0.99+0.97 \times 0.02}[/tex]

                    = [tex]\frac{0.0297}{0.0491}[/tex] = 0.6049.


Related Questions

A car is traveling at a speed of 70 miles per hour. What is the car's speed in kilometers per hour? How many kilometers will the car travel in 5 hours? In your
computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers

Answers

Answer:

112.654

Step-by-step explanation:

112.654 x (5x60)=?

what are3 rations equivalent to 8:5

Answers

Answer:

16:10

4:2.5

64:40

Step-by-step explanation:

hope this helps

How many solutions are to the equation below
9(x-4)= 9x-33

Answers

Answer:

No solution

Step-by-step explanation:

9(x-4)=9x-33

9x-36=9x-33

-9x       -9x

36=33

36 is not equal to 33 so therfore

there is no solution

Somebody please help me with this ASAP I need the answers to the whole thing!! Please

Answers

Answer:

(-2, 3 )

(-1, 2[tex]\frac{1}{2}[/tex])

(0, 2)

(1, 1[tex]\frac{1}{2}[/tex])

(2, 1)

Step-by-step explanation:

You just simply substitue the values given into the equation, and the answer worked out will be the value of y.

a = - [tex]\frac{1}{2}[/tex] × -2 + 2 = 1 + 2 = 3

b = - [tex]\frac{1}{2}[/tex] × -1 + 2 = [tex]\frac{1}{2}[/tex]  + 2 = 2[tex]\frac{1}{2}[/tex]

c =  -[tex]\frac{1}{2}[/tex] × 0 + 2 = 0 + 2 = 2

d = -[tex]\frac{1}{2}[/tex] × 1+ 2 =  -[tex]\frac{1}{2}[/tex]  + 2 = 1[tex]\frac{1}{2}[/tex]

e = -[tex]\frac{1}{2}[/tex] × 2+ 2 = -1 +2 = 1

Hope this helps you :)

please solve:
3(d+12)=8-4d

Answers

Answer:

d= -4

Step-by-step explanation:

3d+36=8-4d

7d= -28

d= -4

Answer: -4

Step-by-step explanation:

3(d+12) = 8-4d

3d+36=8-4d

3d+4d=8-36

7d=  -28

d= -28/7

d= -4

When you start from a given set of rules and conditions and determine what must be true you are using _ reasoning

Answers

Answer:

Deductive

Step-by-step explanation:

5 – 7k = -40k + 1) – 3

Do we have to distribute?

Answers

Answer:

Nope because, wait did you forget a parenthesis to the left of -40?

But if there is no parenthesis, you don't have to distribute it.

If there are parenthesizes however, you would need to distribute it.

Step-by-step explanation:

Hope this helps, can you please mark me brainliest? I just need 2 more brainliest to become expert:)

A rectangular prism is 12 centimeters long, 6 centimeters wide, and 5 centimeters high. What is the volume of the rectangular prism?

Answers

Answer:

360 cm cubed

Step-by-step explanation:

Use the volume formula.

V=whl

V=12 x 6 x 5

V=360

54/6 divided by 9 plz help :)

Answers

the answer is one !!!

what is
3 and 4/6 of mins is equal to how many seconds​

Answers

Answer:

220 Seconds

Step-by-step explanation:

3 Minutes is 180 sec (3*60)

4/6 Minutes are 40 sec (multiply the time value by 60)

What is the value of x?



Enter your answer in the box.

Answers

Answer:

x= 127

Step-by-step explanation:

Please see the attached picture for full solution.

PLSSSSSS HELPPPPP MEEEE ASAPPPPP I WILL GIVE BRAINLIEST!!!!!!!!

Answers

Answer:

Y=X-1

Step-by-step explanation:

-1 is the Y intercept and 1x is the slope. Just put X because that is the way to do it. Good luck on your test!

Answer:

Y-x-1 BRAINLIEST PLZZ

Step-by-step explanation:

assume f(x)=-2x+8 and g(x)=3x. what is the value of (g o f)(3)

Answers

Answer:

6

Step-by-step explanation:

(g o f)(3) = g(f(3))

We can find f(3) using its formula with x=3:

f(3) = -2·3 +8 = -6 +8 = 2

Now, we can find g(2) using its formula with x=2:

g(2) = 3·2 = 6

So, the composition value is ...

(g o f)(3) = 6

Diet cola was on sale last week; it cost $10 for every 4 packs of diet cola.
a. How much do 2 packs of diet cola cost?
b. How much does 1 pack of diet cola cost?​

Answers

Answer:

A would most likeley be the answer because when you divide 10 from 4 you get 2.50

Step-by-step explanation:

hope i could help.

what is 75 times .25?

Answers

The answer to the question is 18.75

75 x 0.25 = 18.75 have a great day :D

Elisa withdrew $24 at a time from her bank account and withdrew a total of $192. Frances withdrew $46
at a time from his bank account and withdrew a total of $230. Who made the greater number of
withdrawals?
withdrawals, while
(seleled made the greater number of withdrawals, because she made
(select) only made withdrawals.

Answers

Answer: Elisa

Step-by-step explanation: the first one did 8 withdraws the second one did 5 withdraws

(divide the total by the amount withdrawn each time)

Answer:

Elisa made more because she made 8 and Frances only made 5

Step-by-step explanation:

192/24= 8

230 / 46 = 5

Six hundred and eight thousandths as a decimal

Answers

600.008 (why does this need to be 20 things long)

1. Which is larger 7.2 x 10 -4 or 0072? 7.2 x 10^4

Answers

Answer:

7.2 is larger than 72×10-4 and this is also larger than 00.72

Translate and solve: 336 is what percent of 96?

Answers

the answer is 28.57 !!!

Evaluate 4c - 5 for c = -3

Answers

Answer:

-17

Step-by-step explanation:

Substituting c=-3

4*-3-5

=-12-5

=-17

Answer:

-17

Step-by-step explanation:

4c - 5

4(-3) -5

-12 -5

-17

Roberto and Maria Santanos spend approximately $10.75 per week to wash and dry their family's clothes at a local coin laundry. A new washer and
dryer would cost them a total of $774. How many weeks will it take for the laundromat cost to equal the cost of a new washer and dryer?
HELP PLEASE!​

Answers

Answer:

72 weeks

Step-by-step explanation:

If 1 week =$10.75 then $774 will be equal to $774×1 week=774 then divide by $10.75=72 weeks

It will take 72 weeks the laundromat cost to equal the cost of a new washer and dryer.

We have - Roberto and Maria Santana's who spend approximately $10.75 per week to wash and dry their family's clothes at a local coin laundry. A new washer and dryer would cost them a total of $774.

We have to determine in how many weeks will it take for the laundromat cost to equal the cost of a new washer and dryer.

If you are saving $5 every day, then in how many days you will  save %100?

You will save $100 in = [tex]\frac{100}{5}[/tex]  = 20 days.

According to question, we have -

Cost of a Laundromat = $10.75/week

Total cost of a new washer and dryer = $774.

The number of weeks it will take for the laundromat cost to equal the cost of a new washer and dryer will be -

n(W) = [tex]\frac{774}{10.75}[/tex] = 72 weeks

Hence, it will take 72 weeks the laundromat cost to equal the cost of a new washer and dryer.

To solve more questions on Time and cost estimation, visit the link below -

https://brainly.com/question/13941616

#SPJ2

What is the value of the expression below?

Negative 8 + 19 + 8
0
11
19
35

Answers

Answer:

19

Step-by-step explanation:

-8+19+8

Since -8+8 =0

0+19 = 19

19                                Answer:

       i used my brain                 Step-by-step explanation:

5 3/4 x 3/4 what is the awsner to this

Answers

Step-by-step explanation:

5 3/4 x 3/4

Convert the mixed number to an improper fraction.

23/4 x 3/4

Multiply the fractions across.

63/16

Answer(s):

69/16, 4 5/16, or 4.3125

Hope this helps! :)

f(x) = 14 – 0.5x f(30)=​

Answers

Answer: f(30) = -1

You would substitute every X with 30

Answer:

-1

Step-by-step explanation:

First, plug in 30 to your equation (f(x) = 14 - 0.5(30)

0.5 • 30 is 15, so subtract 15 from 14 and you get -1

1. f(x) = x2 + x and g(x) = 2x + 1
a. Evaluate f(g(3))
b. Evaluate g(f(3))

Answers

Answer:

f(g(3)) = 56

g(f(3)) = 25

Step-by-step explanation:

fog = f(2x+1)

f(2x+1) = (2x+1)^2 + 2x+1

(2x+1)^2 + 2x+1 = 4x^2+6x+2

f(g(x)) = 4x^2+6x+2

f(g(3)) = 4(3)^2+6(3)+2

f(g(3)) = 56

gof = g(x^2+x)

g(x^2+x) = 2(x^2+x)+1

2(x^2+x)+1 = 2x^2 + 2x + 1

g(f(x)) =  2x^2 + 2x + 1

g(f(3)) = 2(3)^2 + 2(3) + 1

g(f(3)) = 25

How many ounces of trail mix are in a bag that weighs 0.681 kilograms? Input only numeric values. (1 pound = 0.454 kg and 1 pound = 16 ounces)

Answers

Answer:

24 ounces

Step-by-step explanation:

the math is.  

.681÷ .454= 1.5 which is in pounds than you take 16÷2= 8 take that 8 add it to the 16 giving you 24 ounces

Answer:

24

Step-by-step explanation:

The graph shows the amount of money paid when purchasing bags of candy at the zoo:

A graph is shown. The x-axis is labeled from 0 to 9 and the y-axis is labeled from 0 to 10. The four points shown on the graph are ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6. These points are joined by a line. The label on the x-axis is Bags of candy. The title on the y-axis is Total cost in dollars.

What is the constant of proportionality? (4 points)

Answers

Answer:

C

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Carly sold 18 rolls of wrapping paper that is two times as many rolls as Jasmine sold how many rolls of wrapping paper did they sell all together

Answers

Answer:

27

Step-by-step explanation:

jasmine sold 9 rolls, so 18 + 9 = 27

The average weight of students in a class is 40 kg. If the total weight of all the students is 1840 kg, then the number of students in the class is

Answers

Answer:

46

toy have to divide 1840 ÷ 40 and your answer is 46

need help on this I just don't understand it​

Answers

Answer:

I understand what to do but i don't understand what a 2 way table is

Step-by-step explanation:

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