document.write( "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.\r
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document.write( "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. \r
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document.write( "Thank you!!!
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Algebra.Com's Answer #305838 by stanbon(75887)![]() ![]() ![]() 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. \n" ); document.write( "My teacher gave me the answer of 0.995, I was wondering what steps/how to begin this problem. \n" ); document.write( "------------------- \n" ); document.write( "P(a single student finds a job) = 0.65 \n" ); document.write( "P(a student does not find a job) = 0.35 \n" ); document.write( "------------------ \n" ); document.write( "Binomial Problem with n = 5 ; p(finds a job) = 0.65 \n" ); document.write( "--- \n" ); document.write( "Problem: \n" ); document.write( "Find P(at least one of 5 finds a job) = 1 - P(none of 5 find a job) \n" ); document.write( "--- \n" ); document.write( "= 1 - (0.35)^5 \n" ); document.write( "--- \n" ); document.write( "= 1 - 0.005252 \n" ); document.write( "------------- \n" ); document.write( "= 0.9947 \n" ); document.write( "========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |