A certain disease has an incidence rate of 0.6%. If the false negative rate is 8% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.

Answers

Answer 1

Answer:

0.1562 = 15.62% probability that a person who tests positive actually has the disease.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Tests positive

Event B: Has the disease.

Probability of a positive test:

100 - 8 = 92% of 0.6%(person has the disease).

3% of 100 - 0.6% = 99.40%(person does not have the disease). So

[tex]P(A) = 0.92*0.006 + 0.03*0.994 = 0.03534[/tex]

Probability of testing positive and having the disease:

92% of 0.6%. So

[tex]P(A \cap B) = 0.92*0.006 = 0.00552[/tex]

Probability that a person who tests positive actually has the disease.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.00552}{0.03534} = 0.1562[/tex]

0.1562 = 15.62% probability that a person who tests positive actually has the disease.


Related Questions

NO LINKS OR ELSE YOU'LL BE REPORTED! Please give me the correct answer.Only answer if you're very good at math.

Answers

Answer:

positive

Step-by-step explanation:

hope this helps :)

Answer:

positive

Step-by-step explanation:

because your adding +2 when ur at 0

Consider the figures shown to answer Part A and Parts B.


Which figures have a volume greater than 600 cubic inches?
Select all that apply.
A. Cylinder #1
B. Cone #1
C. Cylinder #2
D. Cone #2
E. Sphere

Answers

Answers are C and E hope this helps!!

volume of sphere is 4.8 times the volume of cone (1).

A). Options (C) and (E) is correct.

B). 4.8 times

To choose the figure.

What is mensuration?

The act of measuring geometry applied to the computation of lengths, areas, or volumes from given dimensions or angles.

Given that:

Part A

Volume of cylinder (1) = πr²h

                                   = π*(6)²*(5)

                                   = 565.5 cubic inches

Volume of cone (1)=π*r²*h/3

                             =π*6²*5/3

                             = 188.5 cubic inches

Volume of sphere =4π*r²*r/3

                               =4π*6²*6/3

                                = 904.8 cubic inches

Figure having volume greater than 600 cubic inches are cylinder (2) and sphere.

Part (B)

Volume of sphere/Volume of cone (1)=904.8/188.5 =4.8

Therefore, volume of sphere is 4.8 times the volume of cone (1).

Learn more about mensuration here:

https://brainly.com/question/23278855

#SPJ5

find the area of the triangle ! include the unit in the answer (cm) (cm2) (cm3)

Answers

Answer:476

Step-by-step explanation:

if you multiply 14 times 17 times 4 it equals 952 but if you divide it it equals 476

Answer:

the answer is 34[tex]cm^{2}[/tex]

Step-by-step explanation:

You would treat the question as 2 different problems, a small and big triangle. You use the the Pythagorean theorem to find base of the big triangle which would be 13.4(rounded) meaning that the base for the small triangle would be 3.6. From here you would use the equation to find the area of a triangle a = 1/2 bh. Find the area of each triangle separately and then add them together to get 34.

If = cos + (3 − 2

2

) − (3 + 2), find

2

Answers

Answer:

2

Step-by-step explanation:

I found it

What did you really want me to do

Answer: =−4.459698

Step-by-step explanation: Hope this is what you want & Hope this help :D

Reem is 5 years older (bigger) than 3 times Sara's age.
If Reem is 28 years old, how old is Sara?

Answers

Answer: 7 2/3

R = 3s + 5

28 = 3s + 5

23 = 3s

s = 7 2/3


Each person in a group shuffles a deck of cards and keeps selecting a card until a queen appears. Find the mode of the
following number of cards drawn from a deck until a queen appears.
3,12,3, 11,5,5, 3, 10, 12

Answers

Answer:

3

Step-by-step explanation:

PLS TELL ME WHAT IT IS

Answers

Answer: J

Step-by-step explanation: Find out what 85% of 320 is.

help me please will give brainliest

Answers

Answer:

0.4

Step-by-step explanation:

Subtract. 82.6 - 27.9​

Answers

Answer:

the answer is 54.7

Step-by-step explanation:

82.6 - 27.9 = 54 7

i don’t know how to solve this and i need help

Answers

Answer:

y-intercept: (0, 0.4)

x-intercept: (0.3, 0)

Step-by-step explanation:

The x coordinate always comes before the y coordinate

250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table. If a person is selected at random, what is the probability that the person is taller than 180 centimeters and has black hair?

A) 0.257

B) 0.351

C) 0.360

D) 0.116​

Answers

Answer:

Option D

Step-by-step explanation:

Total number of employees in the organization = 250

Total person who have height greater than 180 centimeters and also have  black hair = 29

Probability of choosing a person who is taller than 180 centimeters and has black hair is

[tex]\frac{29}{250} = 0.116[/tex]

Hence, option D is correct

Answer:

The correct answer is D

Step-by-step explanation:

D) 0.116​

You have to find the probability of choosing a person at random taller than 180 cm and with black hair.

In the data provided 29 people meet that criteria. Out of 250 people in total you just divide.

29/250=0.116

Select the correct answer.
What is the equation of the asymptote for this function?
Ax) = In x + 5
O A.
x=0
B.
x= -5
O c.
y= 0
OD.
y=-5

Answers

Answer:

x = 0

Step-by-step explanation:

ln x + 5, similarily to ln x, has no right asymptote, because it goes to infinity (very slowly), but also any line y=ax+b raises faster than ln x for positive a.

It has a left asymptote though - ln x deacreases very fast as x approaches 0, so it has a vertical asymptote of x = 0.

Answer:

x=0

Step-by-step explanation:

i took the test

eight (8)÷ by nine (9) ​

Answers

Answer:

[tex]8 \div 9 \\ = 0.888....[/tex]

.888... rounded would be .9

What is the value in simplest form 8*4/9

Answers

Answer:

32/9 or 3.55555555556

hope this answer helps you!

someone pls help with this equation (subtract the following two equations, to eliminate the x variable then solve for y) ILL MARK YOU BRAINLIEST!!!

Answers

Answer: I dunnu what ur tryna do but i think x= 27y/2 and y= 2x/27

Step-by-step explanation:

What is the greatest common factor of the polynomial -25y^3+15y^2-5y

Answers

Answer:

-5y

Step-by-step explanation:

Well this is very hard and I need help passing do anybody know the answer to this question

Answers

Answer:

-1.9

Step-by-step explanation:

Ella ate half of her gummy bears before adding thirteen more to the bowl. If she now has 25 gummy bears, how many did she start with?

Answers

Answer:

24 gummy bears

Step-by-step explanation:

25-13= 12

12 x 2 = 24

24 hope it helps!!!!!!!!!

A survey was run by a high school student in order to determine what proportion of mortgage-holders in his town expect to own their house within 10 years. He surveyed 35 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.51. The student decides to construct a 95% confidence interval for the population proportion. a)Calculate the margin of error that the high school student will have. Give your answer as a decimal to 2 decimal places. Margin of error

Answers

Answer:

The margin of error is of 0.17.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

He surveyed 35 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.51.

This means that [tex]n = 35, \pi = 0.51[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

a)Calculate the margin of error that the high school student will have.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.51*0.49}{35}}[/tex]

[tex]M = 0.1656[/tex]

Rounding to 2 decimal places, the margin of error is of 0.17.

The points A, B, and D are on circle C, AB=BD, and m ABD = 194°.
What is the measure of AB?

Answers

Answer:

AB = 97

Step-by-step explanation:

AB is half of mABD.

ab is going to be 97

find the missing side using the pythagorean theorem

Answers

Answer:

26.55

Step-by-step explanation:

[tex]a^2 + b^2 = c^2\\b^2 = c^2 - a^2[/tex]

use the b^2 equation

------------------------

b^2 = 31 squared - 16 squared.

b^2 = 705

b=[tex]\sqrt{705}[/tex]

b=26.5518361

By midweek, Wendy had spent $46.65. At the end of the week, she had spent $23.35 more. How much did Wendy spend that week?

Answers

70 dollars because addition

Une coopérative vend un important lot d’œufs de trois tailles différentes.
20 % des œufs sont petits, 50 % sont moyens et 30 % son gros.
Les œufs sont de deux qualités : - « extrafrais » car pondus depuis moins de 9 jours ;
- « frais » car pondus entre 10 et 28 jours plus tôt.
On a remarqué que : ▪ 80 % des petits œufs sont extrafrais ;
▪ 50 % des œufs moyens sont extrafrais ;
▪ 20 % des gros œufs sont extrafrais.
Dans ce lot, on prélève un œuf au hasard et on note sa taille puis sa qualité.
On nomme respectivement P, M et G les événements « l’œuf choisi est petit », « l’œuf choisi est
moyen » ; « l’œuf choisi est gros » et on appelle E l’évènement « l’œuf choisi est extrafrais ».
1) Construire l’arbre de probabilité traduisant la situation.
2) Quelle est la probabilité d’obtenir : a. un petit œuf extrafrais ? b. un petit œuf frais ?
3) Quelle est la probabilité de choisir un œuf extrafrais ?
Aide moi svp

Answers

Answer:

546EEergh

Step-by-step explanation:

455/4355

i need help! i provided the problem in the picture

Answers

Step-by-step explanation:

[tex] \frac{30}{wz} = \frac{40}{32 + 40 } \\ wz = 54[/tex]

[tex] \frac{40}{40 + 32} = \frac{28}{xz} \\ xz = 50.4[/tex]

So the Perimeter is

[tex]54 + 50.4 + (40 + 32) = 176.4[/tex]

Can someone please help me I will mark u brilliant

Answers

Answer:

8

Step-by-step explanation:

Please need help ASAP.

Answers

Answer:

Billy is wrong it's 28 cm2

Sam is wrong it's 59cm2

Pedro is wrong it's 55.3 cm2

Can someone please help

Answers

9514 1404 393

Answer:

  C.  39°

Step-by-step explanation:

The measure of the angle where the chords cross is the average of the measures of the subtended arcs.

  x = (AB +CD)/2 = (28° +50°)/2 = 78°/2

  x = 39°

a restaurant offers 4 pasta meals, 5 seafood meals, and 6 burgers for its main course. If a diner picks a meal at random, what is the probability that the meal selected is seafood

Answers

Answer:

5/15 or 1/3 reduced

Hope this helps!

5/15. You add all the foods together so pasta meals plus seafood meals plus burgers 4+5+6=15. 15 is your total and since seafood is what we want we take that five and it’s 5/15 so sea food out of total food. Reduced it is 1/3

Greg has a storage container in the shape of a
rectangular prism that has a volume of 360 cubic
feet. The container's base measures 8 feet long and
9 feet wide. What is the height of the storage
container, in feet?

Answers

Answer:

The answer is 5

Step-by-step explanation:

First you need to know the equation for volume which is: length×width×height

You have the length and the width which those are: l=8 and w=9

Multiply the length and width together: 8×9=72

Then divide 360÷72=5

Check your math: 8×9×5=360

Therefore, the correct answer is 5

I hope this helps you! ~Lex

someone please help.
find the angle between the given vectors to the nearest tenth of a degree

u=<-5,-4>, v=<-4,-3>

a: -9.1
b: 1.8
c: 0.9
d: 11.8

Answers

Answer:

The answer is b: 1.8

Step-by-step explanation:

Use the arctans of (-4/-5) and subtract is from the arctan of (-3/-4)

38.65980825 - 36.86989765 = approx. 1.8 (b)

:)

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