In certain parts of the world tuberculosis (a very treatable and curable illness) is present in 25% of the people. If a simple chest X-ray can be used as a diagnostic tool with an accuracy of 99% detection of TB if it is present. Only in 0.5% of the cases, normal people get a positive diagnosis. 2 If a person is selected at random and the diagnosis is positive, what is the probability that the person is actually infected.

Answers

Answer 1

Answer:

0.9851 = 98.51% probability that the person is actually infected.

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: Infected

Probability of a positive test:

99% of 25%(People have the disease).

0.5% of 100 - 25 = 75%(People do not have the disease). So

[tex]P(A) = 0.99*0.25 + 0.005*0.75 = 0.25125[/tex]

Probability of a positive test and being infected:

99% of 25%, so:

[tex]P(A \cap B) = 0.99*0.25 = 0.2475[/tex]

What is the probability that the person is actually infected?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2475}{0.25125} = 0.9851[/tex]

0.9851 = 98.51% probability that the person is actually infected.


Related Questions

Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent.

Answers

9514 1404 393

Answer:

  34.8

Step-by-step explanation:

The only polygon in the figure is the triangle outlined in red. Its perimeter is the sum of its side lengths: 15 +6.1 +13.7 = 34.8 units.

__

The two halves of the chord are the same length.

Help me please help ASAP please please help me ASAP

Answers

answer:

39.9

Step-by-step explanation:

54= area of rectangle

28.26= area of the circle

divide circle area by 2

= 14.13

subtract half of circle from rectangle area

54- 14.13

= 39.9

i need the answer asap 20 points

In an arithmetic sequence, the first term, a_1,a
1 , is equal to 5,5, and the fifth term, a_{5},is equal to 41.41. Which number represents the common difference of the arithmetic sequence?

Answers

Answer:

  10

Step-by-step explanation:

The general term of an arithmetic sequence is given by ...

  an = a1 +d(n -1) . . . . where a1 is the first term and d is the common difference

__

This formula can be used to find the value of d. The first term is given as 1, and the 5th term (a5) is given as 41. The value of n for the 5th term is 5.

  an = a1 +d(n -1)

  41 = 1 +d(5 -1) . . . . . substitute known values

  40 = 4d . . . . . . . subtract 1, simplify

  10 = d . . . . . . divide by 4

The common difference of this sequence is 10.

Answer:

10

Step-by-step explanation:

Find the product of C =AB.
Cu=
C12=
C21 =
C22 =

Answers

Answer:

c11= -1

c12= 3

c21= 3

c22= -3

Step-by-step explanation:

on edg

Answer: HAVE AN awesome day

Step-by-step explanation:

Hey guy good morning How are you today can you please help me with my number seven question please I will mark you brainly ?

Answers

Answer:

b. 41.43gallons

Step-by-step explanation:

no of gallon = distance/rate(fuel economy)

=1243/30

=41.4333333333gallons

Evaluate the following expression.
9 +62 – 2.8=

Answers

Answer: I think it’s 68.2

Answer:

68.2 for sure

Step-by-step explanation:

Alternate exterior angles ​

Answers

Answer:

[tex]When \: two \: lines \: are \: crossed \: by \: another \: line \: (called \: the \: Transversal \: ):  \: Alternate \: Interior \: Angles \:  are \: a \: pair \: of  \: angles  \: on \: the \: inner \: side \: of \: each \: of \: those \\ \\ \\ \\ \\ two \: lines \: but \: on \: opposite \: sides \: of \: the \: transversal.[/tex]

hope it helps if it helps don'tforget to like and mark

Is 0.36279979176191 rational or irrational

Answers

Answer is: Irrational because if the answer doesn’t repeat for an example 0.392827263, it’s irrational if it does repeat like this 0.3434343434 it’s rational! Hoped this helped!!

PLS HELP!!
PLSSSSSSSSSSSSSSS!!!!!

Answers

Answer:

1. x = 15

2. x = 26

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

Jenny is dog sitting for 13 dogs. One runs away, and she is not sure which one. There were 3 Labradors (L), 2 Golden Retrievers (G), 3 Dalmatians (D), 4 terriers (T), and 1 bulldog (B) in the original group.
What is the size of the population of dogs that could have run away from Jenny?

1
5
11
13

Answers

Answer:

5

Step-by-step explanation:

It is 5 because she originally had 13. There are 5 types of dogs she was dog-sitting. There are 5 possible types of dogs that ran away.

Please help giving brainliest please help

Answers

Answer:

G

Step-by-step explanation:

In the equation, 8.5 will represent how much money Oscar earns per hour, and the x represents how many hours he works. The inequality sign shows that the sum of 8.5x and 100 has to be at least 397.50 (397.50 and up), so H and J are automatically wrong. If Oscar had given his brother 100 dollars, there would be a subtraction sign, but there is an addition sign instead, meaning he gained 100 dollars that did not come from his job. It would be the most logical to say that his brother had given it to him, so G is the correct answer.

The sum of 10 and hans savings is 49. Use the variable h to represent Hans savings.

Answers

Answer:

39 I believe. The question is a little confusing.

Step-by-step explanation:

49-10=h 39=h

Not sure if this is what you want the question is worded weirdly.

:)
Given that the volume of a rectangular prism is given by the formula V = lwh, what is the value of V if I = 7 cm, w = 5
cm, and h = 4 cm?
A)
16 cm
B)
48 cm
C)
70 cm
D)
140 cm

Answers

D. 140 cm, because 5 x 4=20 and 20 x 7 is 140.
The answer will be D.

Need help to solve problem‼️

Answers

Answer:

1. B

2. F

3. D

4. E

5. A

6. C

I hope that this helped

Answer:

1. B

2.F

3.D

4.E

5.C

6.A

Find the length of the third side. If necessary, round to the nearest tenth.This is on Pythagorean theory​

Answers

Answer:

23 because the 24 side is a little bigger than the other side

Step-by-step explanation:

help ples me i hate ixl

Answers

Answer:

200

Step-by-step explanation:

Base of the prism is a square

So

[tex]\\ \tt {:}\longrightarrow Area\:of\:base=(side)^2[/tex]

[tex]\\ \tt {:}\longrightarrow (5)^2[/tex]

[tex]\\ \tt {:}\longrightarrow 25cm^2[/tex]

Now

[tex]\\ \tt {:}\longrightarrow Volume=Area\:of\:Base\times Height[/tex]

[tex]\\ \tt {:}\longrightarrow 25\times 8[/tex]

[tex]\\ \tt {:}\longrightarrow 200cm^3[/tex]

PLEASE HELP I WILL MARK BRAINLIEST!!!

Answers

Answer:

D: 6

Step-by-step explanation:

We know that the triangle is a right triangle

We can halve each of the sides

20/2 = 10

16/2 = 8

Pythagoream Theorem: A^2 + B^2 = C^2

C= 10

A= 8

10^2 - 8^2 = B^2

100 - 64 = 36

B^2 = 36

B = 6

A chemist is using 358 milliliters of a solution of acid and water. If 13.5% of the solution is acid, how many milliliters of acid are there
Round your answer to the nearest tenth.

Answers

Answer:

48 milliliters

Step-by-step explanation:

13.5% of 358 is 48

Monica drinks 0.125 liters of milk during breakfast and 0.20 liters of milk after dinner everyday. Find the total amount of milk she drinks in a day, using significant digits.

A. 0.325 L
B. 0.33 L
C. 1 L
D. 3.25 L

Answers

The total number of milk drank in a day since the significant figure is not specified is 0.325 L.

What are significant figures?

Significant figures are a way of approximation of large numbers to the required approximation such as two significant figures, three significant figures, or more, as the case may be.

From the given information:

Monica drinks 0.125 liters of milk during breakfast, and0.20 liters of milk after dinner every day

The total number of milk drank in Liters in a day is:

= (0.125 + 0.20) L

= 0.325 L

Learn more about significant figures here:

https://brainly.com/question/24491627

#SPJ1

Answer:

the correct answer is B. 0.33 L

Explanation:

I just took this quiz and this was the correct answer.

sam bought 4kg of red apples some yellow apples and 3 kg of green apples she bought a total of 9,000 whats the mass of the yellow apples

Answers

I believe the answer is negotiable 38

Can anyone please help me answer the
PICTURE IS PROVIDED!

Answers

Answer:

∠a = 29° (alt. int. angles)

∠b = 46° (alt. int. angles)

∠1 = ∠a + ∠b

= 29° + 46°

= 75°

When 334 college students are randomly selected and surveyed, it is found that 103 own a car. Find a 99% confidence interval for the true proportion of all college students who own a car.

Answers

Answer:

(.24329, .3734)

Step-by-step explanation:

1-propzint

n=334

x=103

c level .99

Corey buys chicken wings at a rate of $10 for 40 wings. He sells 10 wings for $5.
How much does Corey pay for each chicken wing he purchases?

Answers

Answer:

20

Step-by-step explanation:

HELP ASAP how do I solve this problem

Answers

Answer:

C. 5/3 (5 sqrt 3) (8.66...)

Explanation:

You would use the SohCahToa to find out side x.

First, label your sides (10 is hypotenuse, x is the opposite, and blank side is the adjacent).

Second, figure out which part you have to use (Sin, Cosine, or Tangent). A good way to tell is of you have the missing side on top of the fraction, makes things easier.

Third, once you figure that out then plug stuff in...

Sin(theta) = O/H
Sin(60) = X/10
10sin(60) = X
8.66... = X

PLEASE HELP!!!!

What mixed number do these squares model?


19/5=?

Enter your answer

Answers

Answer:

19/5= 3 4/5.

Step-by-step explanation:

19 divided by 5 equals 3 with a left over of 4. So 3 and 4/5 should be the answer. hope this helps! have a good day!

I WILL GIVE YOU BRAINERLEST AND A LIKE


Find the area of the parallelogram.

Answers

Answer:

i am not very sure but i think its 50in

Step-by-step explanation:

area of parallelogram is height multiplied by the base

hope this helps

Last year, your salary was $33,975. This year, your boss tells you your salary will be $34,960. What percent raise (change) did you receive? Round your answer to the nearest tenth of a percent.

Answers

Answer:

2.9%

Step-by-step explanation:

If a model car has a scale of 3in.: 5ft., what would be the length of the model be if the actual car was 15 ft. long?

Answers

set up the ratios:

3/5 = x/15

Cross multiply:

45 = 5x

Divide both sides by 5:

X = 9

The model would be 9 inches long

Answer:

120ft

Step-by-step explanation:

Nadia's monthly budget is $2,750. How much does Nadia spend on Rent in a month, in dollars and cents?

Answers

Answer:

990

Step-by-step explanation:

What is the value of x?

Answers

4x+2=5x-6
4x-5x=-6-2
-x=-8
x=8
I think is x 8 I am not chare
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