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
antoniya [11.8K]
3 years ago
13

To determine whether or not they have a certain desease, 100 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 analized 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 desease); 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 desease is 0.05 for all people, independently of each other, and compute the expected number of tests necessary for each group.
Mathematics
1 answer:
matrenka [14]3 years ago
8 0

Answer: Expected number of tests = 5.013

Step-by-step explanation:

Define random variable X that marks the number of tests required for some certain

group. Observe that if the test is negative for all the people (which has probability 0.95), we make one and only one test. If some of the people is tested positive, we make ten additional tests for every person in that group separately. Hence, the expected number of tests will be for if they are all negative (1 test) and the case of at least one person testing positive (11 tests).

That Is,

E(X) = 1(0.95^10) + 11(1 - (0.95^10))

E(X) = 0.5987 + 4.414 = 5.013

You might be interested in
Witch number is between 1/2 and 8/9
iris [78.8K]
It could be any fraction from 5/9 to 7/9.
3 0
3 years ago
Read 2 more answers
Find the value of − √49
melomori [17]
The answer is -7 hope this helps!
4 0
2 years ago
A pound of oranges cost $3 less than a pound of pears. Together, 8 pounds of oranges and 4 pounds of pears cost $30. How much wo
jek_recluse [69]

A pound of oranges cost x dollar => A pound of pears cost x+3 dollar

We have: 8x+4(x+3)=30 => 12x=30-12=18 =>x=1.5

5 pounds of pears cost: 5(x+3)=5(1.5+3)=5*4.5= 22.5 (dollar)

5 0
3 years ago
A watermelon at the grocery store weighs 4.5 kg. How much does the watermelon weigh in pounds and ounces?
jasenka [17]

Answer: 4.5kg = 9.9208lbs

4.5kg = 158.733oz


6 0
3 years ago
Solve for x <br> 4(2x-1)= 3x-19
Sophie [7]
X=-3
This is the answer
8 0
3 years ago
Read 2 more answers
Other questions:
  • Which option shows the graph of 2y-10 &lt; 3x?
    10·1 answer
  • What type of number can be written as a fraction p/q where p and q are integers and q is not equal to 0
    11·2 answers
  • Max estimated it would cost $130 for this week's groceries.The actual cost was $175.Find the percent of error to the nearest ten
    11·1 answer
  • 6's - 10 equal 2 + 3 S Plus s
    13·2 answers
  • If A and B are independent events with P(A) = 0.5 and P(B) = 0.5, then P(A ∩ B) a. is 1.00. b. is 0.5. c. is 0.00. d. None of th
    13·1 answer
  • The Late Show with David Leterman is seen by a relatively large percentage of household members who record the show for viewing
    15·1 answer
  • What is the mean of -71,-62,-88-38-89,15,-76
    12·1 answer
  • Please solve I’m confused
    8·2 answers
  • (5,0) is a solution to the equation y = 5x + 5 Question 11 options: True False
    11·1 answer
  • Can you please help me do this and explain how you did it so I can look at it for references thanks so much (:
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!