Question

A survey is being conducted in a city with 1 million residents. It would be far too
expensive to survey all of the residents, so a random sample of size 1000 is chosen
(in practice, there are many challenges with sampling, such as obtaining a complete
list of everyone in the city, and dealing with people who refuse to participate). The
survey is conducted by choosing people one at a time, with replacement and with equal
probabilities.
(a) Explain how sampling with vs. without replacement here relates to the birthday
problem.
(b) Find the probability that at least one person will get chosen more than once.

Answer 1

Answer: Find answers in the attached documents

Step-by-step explanation:

Answer 2

In this case, we have to use the knowledge of probability and calculate the chance of the event to occur, so we have to:

A) No have problem, because every person can be chosen once or not be chosen at all.

B) The event that everybody has been chosen maximally once is equal to the event that we have chosen the sample without replacement.

So that way, we have to analyze to know how the event will occur, so:

A)In this case we choose the sample with replacement, so the probability that there will be birthday match.

B) Using the formula, we have:

$P=1-P\\=1-\frac{(10^6/10^3)}{(10^6)^{(10^3)}}$

See more about probability at brainly.com/question/795909