Question 1174104: In a large population, 62% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that at least one of them has been vaccinated?
Give your answer as a decimal to 4 places.
Found 2 solutions by ikleyn, ewatrrr:
Answer by ikleyn(52778)   (Show Source):
You can put this solution on YOUR website! .
In a large population, 62% of the people have been vaccinated. If 4 people are randomly selected,
what is the probability that at least one of them has been vaccinated?
Give your answer as a decimal to 4 places.
~~~~~~~~~~~~~
This probability is the COMPLEMENT to the probability of the event "No one of 4 has been vaccinated",
and THEREFORE is equal to 1 -  =  = 0.9791.
Solved.
------------
The solution and the answer by @ewatrrr are both incorrect.
Answer by ewatrrr(24785)  (Show Source):
You can put this solution on YOUR website!
Hi,
In a large population, 62% of the people have been vaccinated.
If 4 people are randomly selected:
what is the probability that at least one of them has been vaccinated?
P(x ≥ 1) = 1 - P(x ≤ 0) = 1 - binomcdf(4, .62, 0)
P(x ≥ 1) = 1 - binomcdf(4, .62, 0) = 1 - .0209 = .9791 (decimal to 4 places)
Wish You the Best in your Studies.
|
|
|
