A diagnostic test for a disease is such that it (correctly) detects the disease in 90% of the individuals who actually have the disease. Also, if a person does not have the disease, the test will report that he or she does not have it with probability 0.9. Only 1% of the population has the disease in question. If a person is chosen at random from the population and the diagnostic test indicates that she has the disease, what is the conditional probability that she does, in fact, have the disease

Answers

Answer 1

Answer:

8.33% probability that she does, in fact, have 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: Positive test

Event B: Has the disease

Probability of a positive test:

10% of 100-1 = 99%

90% of 1%

So

[tex]P(A) = 0.1*0.99 + 0.9*0.01 = 0.108[/tex]

Positive test and having the disease:

90% of 1%

[tex]P(A \cap B) = 0.9*0.01 = 0.009[/tex]

What is the conditional probability that she does, in fact, have the disease

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.009}{0.108} = 0.0833[/tex]

8.33% probability that she does, in fact, have the disease


Related Questions

pls pls pls pls helpppp

Answers

Answer:

30

Step-by-step explanation:

21*10=210

210/7=30

x=30

Answer:

30..

Explanation

Can someone please help me..

Answers

Have a good day/night

What is the slope of the line perpendicular to
y=3x-12

Answers

Answer: y-3x=12. y=3x+12. If the line is perpendicular it means its slope is the negative reciprocal of the given lines slope. m = 3 negative reciprocal = -1/3. So the slope of the equation of the line

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

(-1)(m)^(-1)

this is the way to make a slope perpendicular

y=mx+b

m=slope

b=y-intercept

so:

(-1)(3)^(-1)

-1/3 is the slope of the line that is perpendicular to y=3x-12

Hope that helps :)

Please give brainliest

Q1: A number minus 4 is greater than 2 times a number

Answers

Answer:

x - 4 > 2x

(see below to solve for x if needed)

Step-by-step explanation:

"Greater than" is key word for the greater than symbol: >.

"A number" can be represented by x.

So "a number minus four" would be x - 4 and "two times a number" would be 2x.

So "A number minus 4 is greater than 2 times a number" is:

x - 4 > 2x

If you were to solve for x, it would be:

x - 4 > 2x

-x         -x

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

-4     > x

x < -4

Please help.A teacher asked her pupils what their favourite school subject was.
PE
27
Maths
English
135
Science
3 pupils said PE was their favourite subject.
How many pupils said that Maths was their favourite subject?

Answers

yes this is simple just what is the angle of the whole circle and just subtract from that number.

6, 2, 7, 8, 8, 8, 5, 10, 10

What is the standard deviation of the data?

2.38 first cousins
2.52 first cousins
5.65 first cousins
6.36 first cousins

Answers

Answer:

2.52

Step-by-step explanation:

On edg

What if the bag did not tell us how many total servings and only told us how many total cups?
If the bag of dry fruit has 5 cups and each serving is ¼ of a cup, how many servings would the bag have?

Answers

Answer:

20 servings

Step-by-step explanation:

To find how many servings the bag would have, divide 5 by 0.25:

5/0.25

= 20

So, the bag would have 20 servings

Shawna went shopping at the thrift store yesterday and came home with 12 items and she only spent $31.50. She only got shirts and pants. If each shirt cost $2 and each pair of pants cost $3.50, which system of equations would represent this situation?

Answers

Assuming pants=x and shirts=y

2y+3.50x=31.50 and 2y= 31.50-3.50x

I hope this helps you out!

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer: 23

Step-by-step explanation:

x = 90 - 67

x = 23

Angie has 3 pink bows, 1 blue bow, and 6 purple bows in a box. She will randomly choose 1 bow from the box.
What is the probability Angie will choose a purple bow?

Answers

60%
Ex:6+3+1=10
6/10 bows are purple
6/10 = 60/100 or 60%

Are the ratios 9:15 and 3:5 equivalent

Answers

Answer: true

Step-by-step explanation:

Who know this answer

Answers

Answer: BASE 10

Step-by-step explanation:

It’s Base 10 my guy. Pretty certain


Please help ASAP!!!!

Answers

Answer:

-4

Step-by-step explanation:

32÷-8=-4

Data represented by quantities is called data.

Answers

Four types of data (nominal, ordinal, interval, and ratio) that represent values or observations that can be sorted into a category

potrzebuję na teraz pls

Answers

Answer:

I don't know what is this

Page 153
30. A car's value is a function of many things,
including the total mileage on the car. The
following graph illustrates the depreciation of a
car as more miles are driven. Find the value of
f(50,000) and explain its meaning. What is the
range of this function?
Car's valde
$14,000
$12,000
$10,000
$8.000
$6,000
$4,000
$2,000
$0
20,000 40.000 60.000 80.000 100.000 120,000
Mileage

Answers

If you’re on plato the answer would be c

Pls answer this for mw​

Answers

Answer:

True.

Step-by-step explanation:

< ABF and < FBE are supplementary angles because when we sum up both we get 180°

Hope it will help :)❤

True is the answer I think

(-4)-(-2)-{(-5)-[(-7)+(-3)-(-8)]}

Answers

Answer:

1

Explanation:

I used the calculator.

Write the pair of fractions as a pair of fractions with
common denominator
1/2 and 1/3

Answers

2/10 = 3/10, 2/5 = 4/10

Answer:

3/6 & 2/6

1/2 x 3, 1x3=3, 2x3=6, so it's 3/6.

1/3 x 2, 1x2=2, 3x2=6, so it's 2/6.

A cyclist starts from the point si = (7, 7, 4) at t = 0 and moves with a constant velocity of v → =(4, 5, 5) and cyclist motion can be depicted by the expression, s = si + vt which gives position vector of cyclist. Determine the distance travelled by the cyclist between t = 4 s and t = 23 s. (Distance is in meters)
A. 154.36 m
B. 157.36 m
C. 152.36 m
D. 155.36 m

Answers

Answer:

A. 154.36 m

Step-by-step explanation:

I got it "Correct"

Answer:

A. 154.36 m

Step-by-step explanation:

Have a great day

HELP HELP HELPPPP SOMEONE PLEASE-

Answers

Answer:

Its B

Step-by-step explanation: very ez

Answer:

B. All of these statements are true

Step-by-step explanation:

$10 is the smallest amount shown, therefore a is correct.

$25 is the greatest, so c is also correct

and a majority of the tickets start at $15, making d correct

A jar contains 666 red jelly beans, 666 green jelly beans, and 666 blue jelly beans.
If we choose a jelly bean, then another jelly bean without putting the first one back in the jar, what is the probability that the first jelly bean will be green and the second will be green as well?

Answers

Answer:

666/1998 x 665/1997 = 665/5991    or    0.110999833083

What fraction of the shape is shaded?

Answers

Answer:

1.75/8 would be your answer if im right.

Answer:

dude I want the same ans can anyone help plzz

FIRST TO ANSWER GETS BRAINLIEST!!!
Find the y-intercept of the following line:
y=−8x+7

Answers

The y intercept is 7

Answer:

7

Step-by-step explanation:

y = mx + b

The y-intercept is b.

y = -8x + 7

The y-intercept is 7.

Donna and Darcy collected newspapers for recycling. Donna collected 5 3/4 pounds of newspaper. Darcy collected 2 1/4 pounds of newspaper. How much newspaper did they collect between them?

Answers

Answer:

8 pounds

Step-by-step explanation:

5 3/4 + 2 1/4 = 7 4/4 = 8

Please need help thank

Answers

Answer:

5/6 yard

Step-by-step explanation:

6/6 - 1/6= 5/6 yard

Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)

Answers

Answer:

18 units square

Step-by-step explanation:

Given

The attached trapezium

Required

Determine the area

From the attachment, the height, h is:

[tex]h = 3\ units[/tex]

And parallel sides are:

[tex]s_1 = 3[/tex]

[tex]s_2 = 9[/tex]

So, the area is calculated as:

[tex]Area = \frac{1}{2}(s_1 + s_2) * h[/tex]

[tex]Area = \frac{1}{2}(3 + 9) * 3[/tex]

[tex]Area = \frac{1}{2} * 12 * 3[/tex]

[tex]Area = \frac{36}{2}[/tex]

[tex]Area = 18[/tex]

what is the value of 4/15 divide 2/3

Answers

Answer:

0,4

Step-by-step explanation:

4/15 : 2/3 = 4/15 × 3/2 = 2/5 × 1 = 0,4

A school earns $70 from selling 50 tickets for the school play. Each ticket costs the same price.
How much does the school earn for one ticket ??

Answers

70/50= 1.4
$1.4

ANSWER CHECK:
1.4x50
=70

13 The Lozano's chartered a boat over the holiday
weekend. The cost for the day was $350 plus the
6.5% sales tax. They also decided to tip their
guide 25% of the original cost of the boat rental.
What is the total amount they paid?

Answers

Answer:

$460.25

Step-by-step explanation:

350 + .065(350) + .25(350)

= 350 + 22.75 + 87.5

$460.25

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