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
cricket20 [7]
3 years ago
11

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.
Mathematics
1 answer:
Artyom0805 [142]3 years ago
7 0

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 :

P(x=0) = ^{19}C_0 (0.04)^0 (0.96)^{19} =0.460419201958

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 =\frac{\text{Total population}}{\text{no. of people in each group}}=\frac{304}{19}=16

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

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

=11.2520351628 \times 16

=180.0325

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

You might be interested in
The purchase price of a car is $22,500.00 and the 5 year loan has a 10% down payment and an annual interest rate of 6.75%. What
kozerog [31]

Answer:

$398.59

Step-by-step explanation:

7 0
3 years ago
The quantities x and y are proportional.<br>pls help plsssss this work is due 20 min plsss helppp
Dahasolnce [82]

Answer: 2.5

Step-by-step explanation:

y = rx

substitute numbers in and solve for r

if

y = 10

x = 4

then

10 = r4

r = 10/4 = 2.5

this works for all the other numbers and always gives r = 2.5

5 0
3 years ago
Two vertices of a rectangle are (−10, −7) and (−10, 18) .
Bingel [31]

Answer:

The length of the side of the rectangle is 11 units.

8 0
2 years ago
Read 2 more answers
What is the midpoint of a segment whose endpoints are (-5,6) and (-7,2)?
zloy xaker [14]
The answer to the question is b

5 0
3 years ago
Find the unit price of 8 mugs for $38.32<br> A.) $4.99<br> B.) $4.97<br> C.) $4.79<br> D.) $4.77
Anastasy [175]

Answer:

C. 4.79

Step-by-step explanation:

I divided 38.32 by 8 to find the individual prices

8 0
2 years ago
Read 2 more answers
Other questions:
  • Find the mode of this set of data
    8·2 answers
  • Here are the ingredients for making pineapple sorbet for 6 people.
    5·2 answers
  • PLEASE HELP I PUT THE PROBLEM AS A PICTURE PLEASE ANSWER WILL GIVE 30 POINTS SHOW WORK
    9·1 answer
  • Help pls
    5·1 answer
  • Help I need your math skills
    15·1 answer
  • Noa buys 6 items that each cost $4.25 and 3 items that each cost $6.75. How much does Noa spend in total?
    9·2 answers
  • PLEASE TELL THE ANSWER!!!!!!!!!!!!!!!ASAP!!!!!!
    13·1 answer
  • Need help ASAP DUE IN A COUPLE MINUTES ?!!!!
    13·2 answers
  • You have 10 eggs you crack 2 cook 2 and eat 2 how many eggs do you have left?
    12·2 answers
  • Alec is doing a test of 50 questions. He gets 2 marks for every question that is correct, but loses 1 mark for every question th
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!