document.write( "Question 1177779: A brokerage survey reports that 30 per cent of individual investors have used a discount broker, that is, one which does
\n" ); document.write( "not charge the full commission. In a random sample of 9 individuals, what is the probability that
\n" ); document.write( "a. Exactly two of the sampled individuals have used a discount broker,
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Algebra.Com's Answer #806874 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi\r\n" );
document.write( "Binomial Distribution:  p(used a discount broker) = .3\r\n" );
document.write( "Binomial Theorem: \"P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+\" \r\n" );
document.write( "Using TI or similarly an inexpensive calculator like a Casio fx-115 ES plus \r\n" );
document.write( "n = 9\r\n" );
document.write( "(a) P(x = 2) = binompdf(9, .3, 2) = .2668\r\n" );
document.write( "(b) P(x ≤ 3) = binomcdf(9, .3, 3) = .7297\r\n" );
document.write( "(c) P(x ≥ 3)=  1 - P(x ≤ 2) = 1 - binomcdf(9, .3, 2) = 1-.4628 = .5372\r\n" );
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document.write( "Important You are  comfortable using Your Calculator.\r\n" );
document.write( "by hand: \"P+%28x+=+2%29=+highlight_green%289C2%29%28.3%5E2%29%28.7%29%5E%287%29+\" = .2668\r\n" );
document.write( "in b for ex: P(x=0) + P(x=1) + P(x=2) + P(x=3)\r\n" );
document.write( "The Calculator does these computations and additions for you \r\n" );
document.write( "when using the binomcdf function.  My recommendations is USE your calculator.\r\n" );
document.write( "Wish You the Best in your Studies.\r\n" );
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