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Find the probability that at least 11 students volunteered at least occasionally.

Cyprus

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Joined
Oct 22, 2015
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9
A recent survey found that 86% of first-year college students were involved in volunteer work at least occasionally. Suppose a random sample of 14 college students is taken. Find the probability that at least 11 students volunteered at least occasionally.

I honestly dont know where to start. My thought process was to assume there are 100 students, and if it says 86% involved in volunteer work so thats 86 students, and if 14 students are randomly selected, that would be 13/100 now I am getting tripped up on how to incorporate the probability that 11 students volunteers at least occasionally. :(
 

Subhotosh Khan

Super Moderator
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Joined
Jun 18, 2007
Messages
18,089
A recent survey found that 86% of first-year college students were involved in volunteer work at least occasionally. Suppose a random sample of 14 college students is taken. Find the probability that at least 11 students volunteered at least occasionally.

I honestly dont know where to start. My thought process was to assume there are 100 students, and if it says 86% involved in volunteer work so thats 86 students, and if 14 students are randomly selected, that would be 13/100 now I am getting tripped up on how to incorporate the probability that 11 students volunteers at least occasionally. :(
Why is that?
 

Ishuda

Elite Member
Joined
Jul 30, 2014
Messages
3,345
A recent survey found that 86% of first-year college students were involved in volunteer work at least occasionally. Suppose a random sample of 14 college students is taken. Find the probability that at least 11 students volunteered at least occasionally.

I honestly dont know where to start. My thought process was to assume there are 100 students, and if it says 86% involved in volunteer work so thats 86 students, and if 14 students are randomly selected, that would be 13/100 now I am getting tripped up on how to incorporate the probability that 11 students volunteers at least occasionally. :(
The outcome is a yes/no (2 choices) kind of question [yes=does volunteer, no=does not volunteer or vice-versa]. What does that suggest?
 

Jomo

Elite Member
Joined
Dec 30, 2014
Messages
2,767
The outcome is a yes/no (2 choices) kind of question [yes=does volunteer, no=does not volunteer or vice-versa]. What does that suggest?
Bi....ial!
 
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