To determine whether they have a certain disease, 100 people are to have their blood tested.However, rather than testing each individual separately, it has been decided first to place the peopleinto groups of 10. The blood samples of the 10 people in each group will be pooled and analyzedtogether. If the test is negative, one test will suffice for the 10 people, whereas if the test is positive,each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group.Assume that the probability that a person has the disease is .1 for all people, independently of eachother, and compute the expected number of tests necessary for each group. (Note that we areassuming that the pooled test will be positive if at least one person in the pool has the disease.)

Answers

Answer 1

Answer:

The expected number of tests necessary for each group is 7.51.

Step-by-step explanation:

The probability of a person having the disease is, P (X) = 0.10.

Then the probability of a person not having the disease is P (X') = 0.90.

It is provided that if the test is negative, one test will suffice for the 10 people.

Bur if the test is positive, each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group.

Compute the expected number of tests necessary for each group as follows:

Expected number of tests = Negative Result × P (X') + Positive Result × P (X)

                                           [tex]=(1\times (0.90)^{10})+(11\times [1-(0.90)^{10}])\\=0.3486784401+7.1645371589\\=7.513215599\\\approx 7.51[/tex]

Thus, the expected number of tests necessary for each group is 7.51.


Related Questions

Plz help
6y+2(y+1)

Distributive Property and Fractions

Answers

6y^2 + 6y + 2y + 2 = 6y^2 + 8y + 2

The way you do this is basically multiplying the values in the brackets with 6y, and then adding that to the same values multiplied by 2.

The photo below is the reduced form of a 16-by-20-inch print. What is the scale factor being used to reduce te
4 in
5 in

Answers

Answer:

Option (B)

Step-by-step explanation:

Photo given in the picture has dimensions as,

Length = 4 in.

Width = 5 in.

This photo is the reduced form of a photo having dimension 16 by 20 inch print.

Since scale factor of an image is given by,

Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original picture}}[/tex]

                    = [tex]\frac{4}{16}[/tex]

                    = [tex]\frac{1}{4}[/tex]

Therefore, scale factor used to reduce the picture is [tex]\frac{1}{4}[/tex].

Option (B). will be the correct option.

Answer:

it's 4

Step-by-step explanation:

it's 1:4 cause 16/4 is 4 so the scale factor is 4

As you can see, he uses one square for Stage 1, three squares for Stage 2 and six for Stage 3.

How many squares should he use for the sixth stage?​

Answers

Answer:

21 squares

Step-by-step explanation:

1 = 1

2 = 3

3 = 6

The pattern follows squares use in the previous stage + new stage = squares use the new stage

Squares used in stage 2 = Squares used in stage 1 + stage 2

= 1 + 2

= 3 squares

Squares used in stage 3 = Squares used in stage 2 + stage 3

= 3 + 3

= 6 squares

Squares used in stage 4 = Squares used in stage 3 + stage 4

= 6 + 4

= 10 squares

Squares used in stage 5 = Squares used in stage 4 + stage 5

= 10 + 5

= 15 squares

Squares used in stage 6 = Squares used in stage 5 + stage 6

= 15 + 6

= 21 squares

4 = 10

5 = 15

6 = 21

you must take medicine in 4 equal doses each day. each days medicine come in a single container and measure 3 1/5 tablespoons. how much medicine is in each dose

Answers

1.2 tablespoons in each dose

the product of -3 and t is greater then 11

Answers

Answer:

t ≤ 4

Step-by-step explanation:

3 X 4 = 12  or any number greater than 4

Hansel's age is one less than three times Gretel's age. The sum of their ages is 43.

Answers

Answer: Hansel is 32

Step-by-step explanation: 11x3-1=32, 32+11=43

Where do you put the parentheses in this equation
9+5÷5+2
Value:2

I am not good at math and this is for my 5th grader

Answers

Answer:

here we go.....

Step-by-step explanation:

9+5 equals14 5 +2 equals 7

14 divided by 7 equals 2

hope you get it correct

Steven put together 2,494 pieces of a puzzle. About how many pieces did he put together?

Answers

Answer:

2,494

Step-by-step explanation:

if he put 2,494pieces together you repeated the same question

Is 35 - square of 40 greater than 6 pi?

Answers

Answer:

yes

Step-by-step explanation:

Sue bought 2 large cans of dark beans and 4 pounds of chicken. Each can of beans
costs $2.19. Her total cost was $ 20.34. How much did each pound of chicken cost?
Which each equation could you write to solve this problem?

Answers

Answer:

3.99

Step-by-step explanation:

2.19x2=3.99

20.34-4.39=15.96

15.96 divided by 4 =3.99

The difference of two integers is 1. The product of the integers is 30. What
are the integers?

Answers

[tex]\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}[/tex]

Let us take ,

First integer be x .Second integer be y .

Also let us consider x > y .

According to first Condition :-

⇒ x - y = 1.

⇒ x = y + 1. .............(i)

According to second Condition :-

⇒ x × y = 30 .

⇒ ( y + 1 )y = 30 . [ From (i) ]

⇒ y² + y = 30.

⇒ y² + y - 30 = 0 .

⇒ y² + 6y - 5y -30 = 0.

⇒ y ( y + 6 ) -5 ( y + 6 ) = 0 .

⇒ ( y + 6 ) ( y - 5 ) = 0 .

[tex]\red{\bf \longmapsto y = 5 , (-6)}[/tex]

Here y can sustain both values 5 and minus 6 as y is an integer.

So , x = -6 , 5 .

Hence possible answers are ,

[tex]\boxed{\purple{\bf x = -6 , y = -5 }}[/tex]

[tex]\qquad\qquad\qquad \bf Or [/tex]

[tex]\boxed{\purple{\bf x = 6 , y = 5 }}[/tex]

.

What’s the y intercept

Answers

The y intercept is where the function intersects the y-axis.

Answer:

y-intercpet is In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

The volume of a cube is 27 in.. How long is each side? Each side of the cube is____in. long.​

Answers

Answer:

the volume is 27 and to get a volume of a cube it will be side cubed meaningit will be side x side x side so to get the length of one side we will look for the cube root of 27 by using factor tree and the cube root will be 3

I mark as brainliest ​

Answers

Answer:

The answer is D

Step-by-step explanation:

you might get confused with A but its D because D is separating 4 + 3 from 3 wich we are multiplying  and A is not. so the answer is D

what is 5 divided by 1 4/7

Answers


3.18 is the answer i believe !

Four college friends (one is named Cathy) were all accepted to a graduate school.

Answers

Answer:

Wow that is great

Step-by-step explanation:

is there a question? uhhhmmmmm

The number of pages that Armando, Billy, Robert, and Joel can read in a day is shown below.
Armando read 15% of his 46-page book.
Billy read 11% of his 72-page book.
Robert read 12% of his 68-page book.
Joel read 14% of his 69-page book.

Who can read the greatest number of pages in a day?


a Armando
b Joel
c Billy
d Robert

Answers

B Joel hope this helps

Answer: B. Joel

hope this helps :}

Grace is measured for her annual check up. She is 28 1/5 inches tall. Last year she was 25 3/5 inches tall. How much did she grow in one year?

Answers

Answer:

2 3/5 inches in a year

Step-by-step explanation:

28 1/5 - 25 3/5 = 141/5 - 128/5 = 13/5 = 10/5 + 3/5 = 2 + 3/5 = 2 3/5

I toss a coin 60 times. It lands on tails 24 times. What percent of the time does it land on tails?

Answers

40% is my answer, hope it helps

yeahyeahyeahyeahyeahyeahyeah

Answers

the answer is yea yea yea yea yea


PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((

Answers

Answer:

-4.9

Step-by-step explanation:

The answer is -4.9 because:

1) As the number line increases, the numbers are also increasing even though  it seems like they are decreasing.

2) The number that comes right after -5 is -4.9

Hope this helps! :D

Bart drives 45 miles in 30 minutes. If he drove 3 hours in total at the same rate how far did he go! How many minutes did Bart drive in total!

Answers

Answer:

270 miles and 180 minutes

Step-by-step explanation:

(x+5) (x+4) give me the answers quick please​

Answers

[tex] \red { \orange {\boxed {\boxed{Answers}}}}[/tex]

[tex] = (x + 5)(x + 4)[/tex]

[tex] = {x}^{2} + 4x + 5x + 20[/tex]

[tex] = {x}^{2} + 9x + 20[/tex]

Solve for V and simplify.
2v+6=13v-4v+62

Answers

V = -8

Explanation:

What value of x is in the solution set of 8x -6 > 12 + 2x?
-1
0
3
5

Answers

Answer:

x:5

Step-by-step explanation:

The value of 'x' in the solution set is 5 Option D

How to determine the value of x

From the equation

8x -6 > 12 + 2x

Collect like terms

8x - 2x >  12 + 6

6 x > 18

Make 'x' subject of formula

x > 18/6

x >  3

If x is greater than 3, then x is 5

Therefore, the value of 'x' in the solution set is 5. Option D

Learn more about inequalities here:

https://brainly.com/question/24372553

#SPJ9

whay is called when there is a difference between what one expects to happen and what actually happens
O metaphor
O symbolism
O personification
O irony​

Answers

Answer:

I do believe it is irony

A bag contains 5 blue, 3 red, 6 green, 9 orange, and 20 black marbles. What is the ratio of number of blue marbles to the number of marbles that are orange or green?

Answers

Answer:

What you are looking for is the ratio which is 5/9

Step-by-step explanation:

all you had to do was add them together

Answer:

Step-by-step explanation:

5 to 9

Donavon and three friends go to a fair. They each spend 1/2 of their money on rides. ​ Then, they each spend​ $3 on food. At the end of the​ day, Donavon and his friends have a total of​ $8 remaining. How much money did each person bring to the​ fair? Complete the work to find the value of x.

(Type integers or​ fractions as the answer.) like top to down

Answers

Answer:

$22

Step-by-step explanation:

Hi here is the explanation

We just do the opposite of the question

We just add the values

So 3+8=11

Now multiply. Since when we have the total and we spent haslf of it, we divide, so now we multiply by reciprocal, the opposite

11*2=22 (2 is the reciprocal)

Now let’s see we did it right

22*1/2=11

Now let’s subtract to find the remaining

11-3=8

As you can see, we are right as they had $8 left.

Hope it helps

Hope you mark me brainliest!

78.540 round to the nearest hundred

Answers

Answer:

78.5

Step-by-step explanation:

Hey friend,
Ur answer will be 78.600..
Because if it’s less than 5 it would be 78.400.
So, the ans is 78.600.

use the simplified ratio to find the equivalent ratio with a denominator of 140​

Answers

Answer:

x

__

140

Step-by-step explanation:

all i could get sorry

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