1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
polet [3.4K]
3 years ago
8

To determine whether or not they have a certain disease, 150 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 10. The blood samples of the 10 people in each group will be pooled and analyzed together. If the test is negative, one test will suffice for the 10 people (we are assuming that the pooled test will be positive if and only if at least one person in the pool has the disease); 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 the probability that a person has the disease is 0.04 for all people, independently of each other, and compute the expected number of tests necessary for each group.
Mathematics
1 answer:
Sophie [7]3 years ago
7 0

Answer:

The answer is 75 tests for 150 people.

Step-by-step explanation:

Firstly, with 150 people, we can divide into 15 groups; and the probability of disease is 0.04, there are 6 persons who possibly get disease.

Therefor, the maximum number of groups with an individual getting disease is 6. Then, 6 * 11 tests = 66 tests required.

15 groups - 6 groups with disease = 9 groups of negative with 9 tests.

In conclusion, there are 75 tests required.  

 

You might be interested in
The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a st
Alinara [238K]

Answer:

There is a 0.82% probability that a line width is greater than 0.62 micrometer.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.

In this problem

The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a standard deviation of 0.05 micrometer, so \mu = 0.5, \sigma = 0.05.

What is the probability that a line width is greater than 0.62 micrometer?

That is P(X > 0.62)

So

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.62 - 0.5}{0.05}

Z = 2.4

Z = 2.4 has a pvalue of 0.99180.

This means that P(X \leq 0.62) = 0.99180.

We also have that

P(X \leq 0.62) + P(X > 0.62) = 1

P(X > 0.62) = 1 - 0.99180 = 0.0082

There is a 0.82% probability that a line width is greater than 0.62 micrometer.

3 0
3 years ago
Which unit would measure length in the metric system? centimeter, pound,mililiter,cup​
vitfil [10]

Answer: centimeter

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
state if the triangles in each pair of similar. If so, State how you know that they are similar and complete the similarity stat
iragen [17]

Answer:

Similar, AA similarity, ΔAKL

Step-by-step explanation:

BC and KL are parallel.  Therefore, ∠B and ∠K are alternate interior angles, and ∠C and ∠L are also alternate interior angles.  Alternate interior angle are congruent, so by AA similarity, ΔABC ~ ΔAKL.

4 0
3 years ago
Consider the function f(x) = 5x + 7. Which statement MUST be true? A) f(1) ? f(3) = f(3) ? f(1) B) f(1) ? f(3) = f(5) ? f(3) C)
kondor19780726 [428]

Answer:

The answers are as follows for the functions.

f(1) = 12

f(3) = 22

f(5) = 32

Step-by-step explanation:

To find any of these, simply input the value in for x in the equation given.

f(1)

f(x) = 5x + 7

f(x) = 5(1) + 7

f(x) = 5 + 7

f(x) = 12

You can repeat this for each of them and it will allow you to use all of the numbers in the equations given.

6 0
3 years ago
Read 2 more answers
Write the equation in point-slope form of the line that passes through the points (-3,6) and (2,11)?
faltersainse [42]

Answer:

the answer is (2,-3)

Step-by-step,-explanation:

4 0
3 years ago
Other questions:
  • The number of girls, g, in a room is four more than two times the number of boys, b. Half of the number of girls in the room min
    11·1 answer
  • What is the mixed number for 30/7
    6·2 answers
  • Find the sum and write it in standard form<br> (6x^3+3x^2+3)+(2x^3−5x+1)
    9·1 answer
  • Mike saves 20%of every paycheck.His paycheck last week was 1,500 . How much money did mike save from that paycheck
    14·2 answers
  • Can someone please help
    13·2 answers
  • What is a multiple of 4/5
    14·2 answers
  • In a survey 1500 people , 775 of them like nepal idol , 975 like comedy chapion and 450 people like both the showes how many peo
    8·1 answer
  • What is the product of<br> (5^-4)(5^-3)
    7·2 answers
  • Put these numbers in order of their distance from 0 on the number line, starting with the smallest distance. -26,-12.7,-9/2,2/10
    6·1 answer
  • Which numbers are a distance of 2 units from 8 on a number line?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!