document.write( "Question 1102206: 2. Based on data from the National Center for Health Statistics, the prevalence of diabetes among seniors (>65 years old) is 30%. You take out a simple random sample 15 senior adults. Let X represent the number of individuals in the sample with diabetes. \r
\n" ); document.write( "\n" ); document.write( "a. Describe the distribution X. \r
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\n" ); document.write( "\n" ); document.write( "b. What is the probability of seeing no diabetes case in this sample?\r
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\n" ); document.write( "\n" ); document.write( "c. What is the probability of seeing one diabetes case?\r
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\n" ); document.write( "\n" ); document.write( "d. What is the probability of seeing one or less diabetes case?\r
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\n" ); document.write( "\n" ); document.write( "e. What is the probability of seeing at least two diabetes cases?
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Algebra.Com's Answer #716879 by Boreal(15235)\"\" \"About 
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p(no DM)=0.7
\n" ); document.write( "p(DM)=0.3
\n" ); document.write( "a. b(15, 0.3) for diabetes nCr p^(n-r)*(1-p)^(r)
\n" ); document.write( "b. This is 0.7^15=0.0047
\n" ); document.write( "c. This is 15*0.7^14*0.3=0.0305
\n" ); document.write( "d. One or 0 cases: sum of b and c or 0.0352.
\n" ); document.write( "e. At least 2 is 1-(1 or 0 cases, the complement), and that is 0.9648.
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