Math & Data Science Q&A - Get answers from our AI that are verified by human experts
First time here? Checkout the FAQs!
x

*Math Image Search only works best with zoomed in and well cropped math screenshots. Check DEMO

MathsGee Android Q&A


0 like 0 dislike
108 views
A number, \(k\), of people are subjected to a blood test, the result of which is either "positive" or "negative". It can be processed in two ways:

i). Each person can be tested separately, so \(k\) tests are required.
ii). The blood samples of all \(k\) people can be pooled and analyzed together. If this test is negative, then one test suffices for the \(k\) people, while if the test is positive, each of the \(k\) people must be tested separately so \(k+1\) tests are then required.
Assume that the probability, \(p\), that a test is positive is the same for all people and that these events are all independent.
a). Find the probability that the test for a pooled sample of \(k\) people will be positive.
b). What is the expected value of the number of tests necessary under plan ii)?
in Mathematics by Platinum (164,236 points) | 108 views

Related questions

0 like 0 dislike
0 answers
0 like 0 dislike
0 answers
0 like 0 dislike
0 answers

Join MathsGee and get expert-verified answers to your maths and data science questions fast. We use a combination of generative AI and human experts to provide you the best answers to your questions. Ask a question now!


On the MathsGee, you can:


1. Ask and answer questions


2. Get expert-verified answers


3. Vote on questions and answers


4. Tip your favorite community members


5. Join expert live video sessions (Paid/Free)


6. Earn points by participating


7. Start a Fundraiser



Posting on MathsGee


1. Remember the human


2. Act like you would in real life


3. Find original source of content


4. Check for duplicates before publishing


5. Read the community guidelines




MathsGee Rules


1. Answers to questions will be posted immediately after moderation


2. Questions will be queued for posting immediately after moderation


3. Depending on the number of messages we receive, you could wait up to 24 hours for your message to appear. But be patient as posts will appear after passing our moderation.




MathsGee Android Q&A

MathsGee Android Q&A