document.write( "Question 326553:
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Algebra.Com's Answer #233814 by stanbon(75887) ![]() You can put this solution on YOUR website! In a given year, 24% of the people in a community use the emergency room at the local hospital. A random sample of 26 people is selected. A researcher wishes to know the probability that a fixed number of individuals in the sample will have used the emergeny room in the last year. \n" ); document.write( "----- \n" ); document.write( "a) Explain why this situation will involve a binomial probability distribution. \n" ); document.write( "1. Each individual either has or has not used the emergency room. \n" ); document.write( "2. The probability for each individual using the emergency is constant. \n" ); document.write( "3. The events are independent. \n" ); document.write( "------------------------------------ \r \n" ); document.write( "\n" ); document.write( " b) Find the probability that in a sample of 26, exactly 12 people used the emergency room. \n" ); document.write( "P(x=12) = 26C12*0.24^12*0.76^14 = binompdf(26,0.24,12) = 0.0076 \n" ); document.write( "------------------------------------\r \n" ); document.write( "\n" ); document.write( "c) Find the probability that in a sample of 26, 12 or fewer people used the emergency room. \n" ); document.write( "P(x<= 12) = binomcdf(26,0.24,12) = 0.9964\r \n" ); document.write( "\n" ); document.write( "===================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |