In a survey of 1000 social-media account holders aged 18 years and older conducted by a certain organization, it was found that 78% of them have one or two such accounts. If 10 of the participants in the survey are picked at random, what is the probability that at most 7 of them have one or two social-media accounts? (Round your answer to four decimal places.)

Question

Mathematics

Maestro

24 February, 01:57

In a survey of 1000 social-media account holders aged 18 years and older conducted by a certain organization, it was found that 78% of them have one or two such accounts. If 10 of the participants in the survey are picked at random, what is the probability that at most 7 of them have one or two social-media accounts? (Round your answer to four decimal places.)

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Joaquin Tran · Answer 1

I'm going to reword your question so it's easier to answer. I'm also going to pretend no one has 3 or more accounts because it's irrelevant.

22% have no accounts (220/1000)

What is the probability that 4 or more of the 10 participants has no account?

(220/1000) * (219/999) * (218/998) * (217/997) * (10 choose 4)