Hello all!

I am currently preparing for exam p and I would really appreciate it if someone could answer the following question about binomial distribution:

There are questions where I am given the size of the group, say 100, and I am given that 31% , for example approve of the internet . Then I am asked what the probability of having 5 out of a random sample of 10 people to approve of the Internet is. Of course the answer is (10 choose 5)(0.31)^{5}(0.69)^{5}. However, my question is - are really the events here independent. If I pick one person and he approves of the internet, doesn't this mean that I am changing the probability that the next one either approves or not of the internet?

I really hope that you can help me!

I am currently preparing for exam p and I would really appreciate it if someone could answer the following question about binomial distribution:

There are questions where I am given the size of the group, say 100, and I am given that 31% , for example approve of the internet . Then I am asked what the probability of having 5 out of a random sample of 10 people to approve of the Internet is. Of course the answer is (10 choose 5)(0.31)^{5}(0.69)^{5}. However, my question is - are really the events here independent. If I pick one person and he approves of the internet, doesn't this mean that I am changing the probability that the next one either approves or not of the internet?

I really hope that you can help me!

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