To determine whether or not they have a certain desease, 304 people are to have their blood tested. However, rather than testing each individual separately, it has been decided first to group the people in groups of 19. The blood samples of the 19 people in each group will be pooled and analyzed together. If the test is negative, one test will suffice for the 19 people (we are assuming that the pooled test will be positive if and only if at least one person in the pool has the desease); whereas, if the test is positive each of the 19 people will also be individually tested and, in all, 20 tests will be made on this group. Assume the probability that a person has the desease is 0.04 for all people, independently of each other, and compute the expected number of tests necessary for the entire group of 304 people.

Answers

Answer 1

Answer:

The expected number of tests necessary for the entire group of 304 people is 180.0325

Step-by-step explanation:

Probability of person being positive = p = 0.04

Probability of person being negative = q = 1-0.04=0.96

Number of people in each group = 19

We will use binomial over here

Probability of no test positive :

[tex]P(x=0) = ^{19}C_0 (0.04)^0 (0.96)^{19} =0.460419201958[/tex]

P( at least one tests positive) = 1-P( no one tests positive)= 1-0.460419201958= 0.539580798042

Expected number of tests for each group = 1(0.460419201958)+20(0.539580798042) = 11.2520351628

Number of groups =[tex]\frac{\text{Total population}}{\text{no. of people in each group}}=\frac{304}{19}=16[/tex]

Expected number of tests necessary for the entire group of 304 people:

=[tex]\text{Expected number of tests for each group} \times \text{No. of groups}[/tex]

=[tex]11.2520351628 \times 16[/tex]

=180.0325

Hence The expected number of tests necessary for the entire group of 304 people is 180.0325


Related Questions

How do you calculate the percentage of a number? ex. 70% of 70

Answers

Answer:

Find P percent of X

Find what percent of X is Y

Find X if P percent of it is Y

Step-by-step explanation:

Example: What is 10% of 150?

Convert the problem to an equation using the percentage formula: P% * X = Y

P is 10%, X is 150, so the equation is 10% * 150 = Y

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10

Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y

Do the math: 0.10 * 150 = 15

Y = 15

So 10% of 150 is 15

Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15

2

) Samantha has 6/7 of a apple pie. Drayden has 3/7 of a apple pie. How much pie do they have altogether? (Make sure to simply if possible) *
10 points
1 and 2/7
9/14
3/7
9/10

2) After her birthday party, Kelsey has 8/9 of pizza left over. Her best friend Savanna ate 1/9 of the leftover pizza. How much of Kelsey's pizza is left? *
10 points
10/9
7/9
None
1/3


3) Simplify the following fraction: 9/12 *
10 points
4/6
9/12 - You can't simplify
1/2
3/4

Answers

Answer: 1 2/7, 7/9,3/4

Step-by-step explanation: 9/7 you had to make a whole then make the fraction 2/7. 7/9 you literally just had to subtract 8-1 to gt 7 and because the denominator didn't need to change it so that makes it 7/9. And the last one 9/12 well 3 can go into 9 and 12 evenly. For 9 it goes in 3 times and for 12 it goes in 3 to any you get 3/4.

So what s the meaning for X and Y

Answers

The first x is the horizontal coodinate (abscisa) and second is the vertical coordinate (ordenate). Both are coordinates. (x,y) has the meaning of a complex number: x is the real part and y is the imaginary part: x+yi. (x,y) has the meaning of a plane's vector from origin of coordinates.

An investment account earns 4% the first year, 5% the second year, and X% the third year. Find X if the three year average interest rate is 10%.

Answers

Answer:

The answer is 1 percent because if you add the 5% and 4% you get 9% and all there is left of the average interest 10 and get 1

Step-by-step explanation:

May i please get Brainiest

FIRST RIGHT GETS BRAINLIEST

Answers

Answer:

20

Step-by-step explanation:

every line is a multiple of 2.

Answer:

The answer is 20

Step-by-step explanation:

The first line is 0 then is goes by two

0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

Help please............................

Answers

Step-by-step explanation:

csc x / (cot x + tan x)

Write in terms of sine and cosine.

(1 / sin x) / [(cos x / sin x) + (sin x / cos x)]

Multiply top and bottom by sin x.

1 / [cos x + (sin²x / cos x)]

Multiply top and bottom by cos x.

cos x / (cos²x + sin²x)

Use Pythagorean identity.

cos x / 1

cos x

Which decimal number is equal to 18?


0.125

0.125¯¯¯¯¯

0.125¯¯¯¯

0.125¯

Answers

Answer:

if you mean 1/8 then its 0.125 (top choice)

Step-by-step explanation:

1/8=(1/4)/2=0.25/2=0.125

PLZ HELP FASTTTTTTTT​

Answers

for this one you basically just plug the numbers in the left column into the f(x) function.
1. 0
2. 4
3. 8
4. 12
5. 16
hope this helps!

Which of the following are polynomials?

Answers

Answer is b hope this helps

What is the slope of the linr passing through thr points (0, 4) and (-8, -1)

Answers

Answer:

H4 sch nxmbd. Xhdnfcjnnccggj jjiihvfh

As part of a science experiment, Sam recorded the four values shown in the table, but one of them got smudged on his paper. He remembers that the sum of the trials was −1. What was the value that was smudged?

Trials

−9

12

(smudged)

−8


A) 2


B) −2


C) −4


D) 4


PLEASE HELP IM GONNA FAIL!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :(

Answers

Answer:

D) 4

Step-by-step explanation:

−9 + 12 + (unknown) + −8 = −1

Start by going through and testing each option

−9 + 12 + 2 + −8 =

3 + 2 + −8 =

5 + −8 =

−3

−3 ≠ −1

A) 2 is not possible.

−9 + 12 + −2 + −8 =

3 + −2 + −8 =

1 + −8 =

−7

−7 ≠ −1

B) 2 is not possible.

−9 + 12 + −4 + −8 =

3 + −4 + −8 =

−1 + −8 =

−9

−9 ≠ −1

C) −4 is not possible.

From this, D is looking like the answer. But to be sure, test it.

−9 + 12 + 4 + −8 =

3 + 4 + −8 =

7 + −8 =

−1

−1 = −1

D) 4 is the answer.

3 plus 2 =
wzsxdcfgvbhjnkrdfvgbh

Answers

Answer:

5

Step-by-step explanation:

three plus two equals 5

Answer:

5

Step-by-step explanation:

3+2=5

:3

The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y < −2x + 10 y < 1 over 2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 I B A F

Answers

Answer:

I think that it could be A, or the third choice.

We need to see which points are solutions for the given system of inequalities, thus the solutions are points B and L.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Solving a system of inequalities we have the system here;

y <-2x + 10

y < 1/(2x - 2)

A point is a solution of the system if and only if it is a solution for both inequalities.

Now, Shade the region below the like for x = 5.

y = -2(5) + 10

= -10 + 10

= 0

For x= 0

y = -2(0) + 10

= 0 + 10

= (0, 10)

The diagram is attached below.

So, only B and L are solutions for the system.

If you want to learn more about inequalities;

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plz help. its easy brainliest

Answers

Answer:

ur welcome brainliesit pls

Step-by-step explanation:

6. x=2

7. x=3

8.x=-7

plz help... ill give u 20 points​

Answers

*The answer is the first one

I’m step 1, the difference of 1.5 x (-3.2) and 1.5 x (2.5) should be written as a sum

For example the right next step you be

1.5 x (-3.2) + 1.5 x (2.5)

And therefore giving you the final result of

= -4.8 + 3.75
= -1.05

Hope this helps :)

Piano lessons with ms bennett cost $30 for 3/4 of an hour what is ms bennetts hourly rate?

Answers

Answer:

im not sure but I think its 40

Step-by-step explanation:

bc 3/4 is $30 so 4/4 is an hour then she each would be $10 so 1/4 is 10 then 2/4 is 20 then 3/4 is 30 then 4/4 is 40

Answer:

$40 per hour

Step-by-step explanation:

3/4 of 1 hour = 3/4 of 60 min = 45Set up a proportion: [tex]\frac{30}{45} = \frac{x}{60}[/tex] Cross multiply, then divide: 30 × 60 = 1800, 1800 ÷ 45 = 40So, Ms. Bennett's hourly rate is $40 per hour

I hope this helps!

If the snow is falling at a rate of 1 2/3 inches per hour, how many hours will it take to snow 12 inches?

Answers

Answer:

It'll take 7.2 hours

Step-by-step explanation:

(5/3)in       12in

---------  x  --------

 1 hr          x hr

Cross multiply and you get

(5/3)x = 12

Then you divide 12 by (5/3) and you get that x = 7.2 hrs

Answer:

7.2 hours

Step-by-step explanation:

1 2/3 inches per hour = 5/3 inches per hour

12 inches = 36/3 inches

(36/3) / (5/3)

(36/3) x (3/5)

108/15

7.2 hours

Is this relation a function? Justify your answer.

Please help me!! 5:45pm est! Answer as soon as you can!

Answers

Answer:

D

Step-by-step explanation:

The result of which expression will best estimate the actual product of (Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths)?
(Negative 1) (one-fourth) (Negative 1) (negative 1)
(Negative 1) (one-half) (Negative 1) (1)
(Negative StartFraction 4 over 2 EndFraction) (Three-halves) (Negative two-fifths) (Five-halves)
(Negative three-fourths) (Negative three-fourths) (Negative one-fifth) (One-half)

Answers

Answer:

The Answer Is B

Step-by-step explanation:

-4/5 = -1  (Rounded)

3/5 = 1/2  (Rounded)

-6/7 = -1  (Rounded)

5/6 = 1  (Rounded)

If your looking for the whole thing it would be:

(-1)[1/2](-1)(1) = x

 Your Welcome! <3

The result of which expression B will best estimate the actual product of  (-4/5) × (3/5) × (-6/7) × (5/6).

What are arithmetic operations?

The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.

It is given that the expression is, a product of Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths),

= (-4/5) × (3/5) × (-6/7) × (5/6)

The final result of the given expression is,

=  360/1050

=0.34

The product of the given values in the expression B is obtained as the equivalent expression to the given values.

Thus, the result of which expression B will best estimate the actual product of  (-4/5) × (3/5) × (-6/7) × (5/6).

Learn more about the arithmetic operations here,

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Spencer is 10 years old. His age is two years less than three times his sister's age. How old is Spencer's sister?

Answers

so she is 24
10-2= 8
8 x 3= 24

The age of Spencer's sister is 4 years old.

What is an Equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Spencer is 10 years old. His age is two years less than three times his sister's age.

Let the age of Spencer's sister be x

According to the question,

3x - 2 = 10

3x = 10 +2

3x = 12

x = 12/3

x = 4

Hence, The age of Spencer's sister is 4 years old.

For more references on an Equation, click;

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Solve the inequality statement:

4r-5<5r+7

Answers

Answer:

r<-12

Step-by-step explanation:

hope this helps........

Answer:b

Step-by-step explanation:

Four zeros of a 5th degree polynomial are 12,3,-5 and 1+2i. What is the 5th zero in this polynomial

Answers

Answer:

1-2i

Step-by-step explanation:

complex roots come in conjugate pairs

If the CPI changes from 121 to 124 between December 2018 and December 2019, the:
deflation rate for 2019 is 2.4%
inflation rate for 2019 is 4.2%.
inflation rate for 2019 is 2.5%.
deflation rate for 2019 is 3%.

Answers

Answer:

Inflation rate for 2019 is 2.5%

Step-by-step explanation:

(124/121) - 1 = 1.02479 - 1 = .02479

Change 0.02479 to percent by multiplying 100 = 2.479%

Round this up to 2.5%

Since the value is increasing from 121 in 2018 to 124 in 2019, this is an inflation.

Answer:

jus 2 ez pz broski lemon squeze

Step-by-step explanation:

Find the measure of the indicated angle.
14
?
29

Answers

Answer:

15

Step-by-step explanation:

I guess it is 29-14 which obviously is 15 as we know

A business owner wants to have the front row window.

Look at the photo please I will name Brainlyest

Answers

It’s 3
Y= Mx+b
119=19x+64
57=19x
3=x

A birthday celebration meal is $47.40 including tax, but not the tip. Find the total cost if a 15% tip is added to the cost of the meal.
th
The total cost is $

Answers

Answer:

$54.51

Step-by-step explanation:

If the total income generated from gasoline for AER was 408 million how much would the cost forna barrel of gasoline

Answers

Answer:

kkkkk

Step-by-step explanation:

kkkkkk kkkkkk kkkWhy were the Punic War so important for the development of the Roman Empire?

Answer:

20

Step-by-step explanation:

If you have 60,000,000 barrels of crude oil and 34% of the barrels are gasoline then you have to set up the problem like this because you have to find out how much 34% of 60,000,000 is first in order to solve the problem.

is/of x 100/%

60,000,000 / a   X    100 / 34

so..60,000,000 x 34 = 2,040,000,000

then divide that amount by 100= 2,040,000,000 / 100 = 20, 400,000

so the 34% actually is the total 20,400,000. Now, you divide the dollar amount 408,000,000 million barrels by the total amount of gasoline which is 20,400,000.

408,000,000 / 20,400,000 = 20

So each barrel of gasoline cost $20.

For his birthday, Zack and three of his friends went to a movie. They each got a ticket for $8.00 and the same snack from the concession stand. If Zack’s mom paid $48 for the group’s tickets and snacks, how much did each snack cost? The equation 4( s +8) = 48 represents the situation when s represents the cost, in dollars, of one snack.

Answers

Answer:

Which number is IRRATIONAL? A) √12 B) √36 C) √64 D) √144

Step-by-step explanation:

Solve the inequality 3x + 4 < 22

Answers

Answer:

3х<18

х<6

хє(-infinity ;6);

Answer:

x<6

Step-by-step explanation:

3x+4<22

First, subtract 4 from both sides of the inequality.

3x-4<22-4

This cancels out the 4, so the 3x is isolated

3x/3<18/3

Finally, simplify to get the answer.

x<6

please mark as brainliest!!

what is 7,233 divided by 84?

Answers

The answer is 86.107
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