SOLUTION: 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 you

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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(52780)   (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.


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