Question 443406: A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation. Find the probablity that among 5 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduation.
My teacher gave me the answer of 0.995, I was wondering what steps/how to begin this problem. I have tried nCr = n! / r!(n - r)! = nPr / r! to slove this, using p = .65, n = 5, and r = 1. And have not been able to get the correct answer.
Thank you!!!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation. Find the probablity that among 5 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduation.
My teacher gave me the answer of 0.995, I was wondering what steps/how to begin this problem.
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P(a single student finds a job) = 0.65
P(a student does not find a job) = 0.35
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Binomial Problem with n = 5 ; p(finds a job) = 0.65
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Problem:
Find P(at least one of 5 finds a job) = 1 - P(none of 5 find a job)
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= 1 - (0.35)^5
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= 1 - 0.005252
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= 0.9947
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Cheers,
Stan H.
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