1. Transplant operations have become routine. One common transplant operation is for kidneys. The most dangerous aspect of the procedure is the possibility that the body may reject the new organ. There are several new drugs available for such circumstances and the earlier the drug is administered, the higher the probability of averting rejection. The New England Journal of Medicine recently reported the development of a new urine test to detect early warning signs that the body is rejecting a transplanted kidney. However, like most other tests, the new test is not perfect. In fact, 20% of patients that experience kidney rejection and 9% of patients that do not experience kidney rejection receive a test result that proves to be incorrect. Physicians know that in about 30% of kidney transplants the body tries to reject the organ. If the new test has a positive result (indicating early warning of rejection), what is the probability that the body is attempting to reject the kidney?

Answers

Answer 1

Using conditional probability, it is found that there is a 0.7921 = 79.21% probability that the body is attempting to reject the kidney.

Conditional Probability

[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 problem:

Event A: Positive test.Event B: Body attempting to reject the kidney.

The percentages associated with a positive test are:

80% of 30%(experience kidney rejection).9% of 70%(do not experience kidney rejection).

Hence:

[tex]P(A) = 0.8(0.3) + 0.09(0.7) = 0.303[/tex]

The probability of both a positive test and the body attempting to reject the kidney is:

[tex]P(A \cap B) = 0.8(0.3) = 0.24[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{0.24}{0.303} = 0.7921[/tex]

0.7921 = 79.21% probability that the body is attempting to reject the kidney.

A similar problem is given at https://brainly.com/question/25553471


Related Questions

Problem 1
Each scholar in fifth grade participates in one of the three extracurricular activities: sports,
chess, or art.
2/5 of the fifth grade scholars participate in sports
1/4 of the fifth grade scholars participate in chess
What fraction of the fifth grade scholars participate in art?

Answers

Answer:

7/20 participate in art.

Answer:

7/20 hcjauwauhfehhfieafuewaueiwavibiurbviubwibvebaiubj

Prove that y = arcsinx on the root of 1 x squared satisfies the equality (1 - x squared)y' - xy = 1

Answers

Answer:

Step-by-step explanation:

The first part is a computation, combining the chain and quotient rules. We know that the derivative of f(x)=arcsin(x) is 1/sqrt(1-x2), and we need to differentiate the denominator. We use the chain rule: let u=1-x^2, and v=sqrt(u). Then du/dx=-2x, and dv/du = 1/(2 sqrt(u)). Combining, dv/dx=-x/sqrt(1-x2). Now, we put everything together using the quotient rules: y' = (f'v-v'f)/v2. Multiplying by (1-x2)=v2, we obtain (1-x2)y'= sqrt(1-x2)/sqrt(1-x2) +xarcsin(x)/sqrt(1-x2), which we can rewrite as 1+xy, as desired. Let's call this equation ().

We prove the second part by induction on n. To do this, we need two things: a base case, that is, proving the case n=0, and an inductive step, where we prove case n+1 from case n. To do the base case, we differentiate both sides of equation (*) that we proved above: d/dx ((1-x2 )y') = d/dx (xy+1 ). On the left-hand side, we get -2xy'+(1-x2 )y'', using the product rule, and on the right-hand side, we get xy'+y, similarly. Rearranging, we've proven the case n=0 of the desired statement. The inductive step is similar: we differentiate the equation from case n using the chain rule. Each of the first two terms splits into two: respectively, -2xy(n+2)+(1-x2)y(n+3), and (2n+3)y(n+1)+(2n+3)xy(n+2). If we combine the terms with the same numbers of derivatives on y, we get (1-x2)y(n+3)-(2n+5)xy(n+2)-((n+1)2+2n+3)y(n+1)=0 -which is what we wanted to prove, since ((n+1)2+2n+3) simplifies to (n+2)2.

What is the terminal point of the vector a = (2,4) based at P = (3, 4)?

Answers

Answer:   (5, 8)

Explanation:

Start at the point (3,4) which is the tail of the vector. We move 2 units to the right and 4 units up to arrive at (5,8) due to the vector a = <2,4>. Effectively, we're using the translation rule [tex](x,y) \to (x+2,y+4)[/tex]

In other words, we add 2 to the x coordinate and add 4 to the y coordinate of the point (3,4) to move to (5,8)

In the base ten number 4325 , how many times
greater than the value represented by the digit 2 is the value represented by the digit 4 ?

Answers

Using the concept of place value, the digit 4 is 200 times greater than the digit 2.

Given the number :

4325

The digit 2 is in the tens place = 2 × 10 = 20

The digit 4 is in the thousand place = 4 × 1000 = 4000

The number of times greater can be obtained thus :

4000 / 20 = 200

Hence, the digit 4 is 200 times greater than the digit 2.

Learn more : https://brainly.com/question/14760328

Bryce has $16 more than Corey. Both have a combined total of $50. How much money does Bryce have.

Answers

Answer:

$33

Step-by-step explanation:

Let the amount of money Corey has be $x.

Amount of money Bryce have= $(x +16)

Total amount= $50

$x +$(x +16)= $50

2x +16= 50

2x= 50 -16

2x= 34

Divide both sides by 2:

x= 34 ÷2

x= 17

Amount of money Bryce have

= $(17 +16)

= $33

please help me
this question is too much hard
I think that my brain stopped working

Answers

the answer for your question is 3/10

What is the value of y in y = log_64 64?

Answers

Step-by-step explanation:

if I understand this correctly as logarithm of 64 to the base of 64, then the answer is clearly 1

64¹ = 64.

The length of a flat-screen tv is 5 inches less than 3 times its width if the perimeter of the tv is 150 inches find the demensions

Answers

Answer:

Length(L) is 55

Width(W) is 20

Step-by-step explanation:

Pls help meeee the question is in the photo pls no links or fake answers pls answer both questions

Answers

Answer:

Step-by-step explanation:

First one is TRUE...you'd multiply by negative one third

Second is FALSE...no multiplication needed to get x as a positive.

help please
i will give the best one ​

Answers

The answer is A because if you graph g(x) then it wouldn’t be linear

The figure below is a square with an area of 625 square centimeters. The length of a rectangle is 40% more than the length of the square. Find the length of the rectangle.

Answers

For a square:

A = s2, where s = side (the length and the width are the same)
625 = s2
±25 = s

length of rectangle = 1.4 · length of square
length of rectangle = 1.4(25)
length of rectangle = 35

During second period, Janet completed a grammar worksheet.
​She got 14 questions correct and 42 questions incorrect. What percentage did Janet get correct?

Answers

Answer: 50%

Step-by-step explanation:

75%!
she has 56 questions in total and if she gets 14 correct, that’s 1/4 of the questions. therefore, she has 3/4 (75%) wrong.

help me with math and ill mark brainliest​

Answers

Answer:

I and II

Step-by-step explanation:

All trapezoids have a midsegment. The base angles of isosceles trapezoids are always congruent. Because the top and bottom side are parallel, the same side interior angles are supplementary not complementary.

Pls help me pls dont answer if you dont know

Answers

Answer:

the answer is 147

Step-by-step explanation:

first you do 3.5cm times 84cm which is 294cm

then you do 294cm divided by 2 which is 147cm

the reason why you divide by 2 is because parallelograms like the triangle can be also halved into 2 separate triangles!!

hope this helped <3

Eduardo's teacher made the table shown here His teacher asked him to identify the missing value in the table Eduardo's answer was correct Which statement describes Eduardo's answer? A Eduardo s answer as 8. He added 6-2 Eduardo s answer was 12 He subtracted 2 from 14 Eduardo's answer was 10 He multiplied the number of cats by 2 Eduardo's answer was 15. He multiplied the number of cats by 3. USATestprep, LLC 2021, All Rights Reserved. Read Our Blog Privacy Policy PHONE 1 - 877 - 377- 9537 I FA​

Answers

Answer:

Your Answer is C!

Step-by-step explanation:

2x2 = 4

3x2 = 6

5x2 = 10

7x2 = 14

Please help please help please help please help

Answers

Answer:

2  ,   3

Step-by-step explanation:

x+x+y×y simplified ?​

Answers

Answer:

(x+x)+ (y+y)

=2x + 2y

thank you

come here in meet dpibazhogk

Hey there!

x + x + y × y

= 1x + 1x + 1y × 1y

COMBINE the LIKE TERMS

= (1x + 1x) + (1y × 1y)

= 2x + y²

= y² + 2x

Therefore, your answer should be: y² + 2x

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

My mom gave me $20 for grocery’s. She needed cat food which was $8.50 for a 35 pound bag. And the rest of the money she needed to buy socks for my dad which are a $1.50 for two pairs how many pairs of socks can I buy.

Answers

Answer:

15 pairs

Step-by-step explanation:

total:$20

cat food: $8:50

two pair of socks: $1.50

$20 - $8.50= $11.50(the rest of the money)

the rest is divided by the price of the socks to obtain how may socks you can pay with $11.50.

$11.50÷$1.50≈ 7.6

Now you multiply 7.6 by two to get the exact amount of socks with the offer.

7.6×2≈15.2

15.2≈15

So with $11.50 you will buy 14 socks for 1.50 every two pairs and a pair for 0.75

How do I point 11,7 on the coordinate plane

Answers

Answer: Plot a point on a coordinate plane just remember that the coordinate given is of the form .  Follow this simple steps

Step-by-step explanation: Identity the variable range .

Determine the scale of the graph.

Number and label each axis and title of the graph.

Show the positive and negative x-axis and y-axis

First , find the value of x on the x-axis . give x = 11 .

Find the value  of y on the y-axis . given y = 7.

Mark the point x=11 in the positive x - axis

Mark the point y=7 in the positive y - axis,.

After this meet the points by the help of scale and write the co-ordinates.

For more details about graph plot click the link given below.

https://brainly.in/question/10164601

When you're asked to plot a point on a coordinate plane just remember that the coordinate given is of the form .

So, first, we need to plot 11 on the -axis (the line going left to right, horizontal) then plot 7 on the -axis (the vertical line)

So we first go 11 units to the right along the -axis then go up 7 units along the -axis.

Hope this helped.

Solve the differentiable equation if possible:

Answers

Look at the photo for the first few steps. After that, follow the steps I’m typing…

D/dt [e^-t y] = te^-t

D/dt [e^-t y] dt = te^-t dt

E^-t y = te^-t dt

E^-t y = -te^-t - e^-t + C

Answer: y= -t -1 + C/e^-t

how many diffrent ways can a psychology student select 5 subjects from a pool of 20 subjects and assign each one to a diffrent experiement

Answers

Answer:

Since its different experiment. Then it's permutation,

Therefore it's 20P5 = 1860480 Ways

Does anyone know this?

Answers

Answer:

i think c or b I D K

Step-by-step explanation:

ratio 2.5 meters to 60 centimeters can be written jn the form 1:n

Answers

Answer:

1:24/100

Step-by-step explanation:

you divide both side

y = 4x – 1 with inputs x = -3, x = -2, and x = -1

Answers

Part 1. If x = -3 the equation would be. Y = -12-1 which would be Y= -13

Part 2. If x = -2 the equation Y = -8-1 which would be Y = -9

Part 3. If x = -1 the equation would be. Y =-4-1 which would be Y = -5

Need help quickly
(Finding angle measures using triangles)

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

what number is its own opposite?

Answers

Answer:

0

Step-by-step explanation:

what number is its own oppositie?

The number 0 is the only number that is its own opposite.

1/2x - 1 = 4 whats the solution?

Answers

Answer:

To solve for x, isolate it from the other terms.

Add 1 to both sides.

1/2x - 1 + 1 = 4 + 1

Combine like terms.

1/2x = 5

Multiply both sides 2.

x = 5(2)

x = 10

The solution is 10.

Hope this helps! :)

What’s the common ratio of the geometric sequence?
-4,-8,-16

Answers

Hello! :)

A geometric sequence is a sequence where you use multiplication or division to get to the next term.

-4, -8, -16...

Here, we multiply every number by 2. So the common ratio is 2.

Hope it helps, and let me know if you have any queries.

~A smiley teen who adores helping others

[tex]MagicalNature[/tex] here to help

Answer:

The answer is 2.

Step-by-step explanation:

To get the common ratio, simply dividing each number in the sequence from the number preceding it.

-4, -8, -16

-16 ÷ -8 = 2

- 8 ÷ -4 = 2

x + 6 - 6x + 10
integers ​

Answers

Answer:

-5x + 16

Step-by-step explanation:

I didn't see a equal sign so I assume that x cannot be x = -5/16

So I combined like terms of x and -6x to get -5x as well as +6 and +10 to get 16.

To get my final answer as -5x + 16.

The answer is -5x + 16

At the beginning of a basketball season, the Panthers won 30 games out of 100 games. At this rate, how many games will they win in a normal 120-game season?

Answers

Answer:40

Step-by-step explanation: 12 divided by 3

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