document.write( "Question 1134025: The local Homeowners Association determined that 53% of the houses in a random town were painted white. If 2,000 houses are selected from this town a random, what is the probability that less than half of the houses would be painted white? \n" ); document.write( "

Algebra.Com's Answer #751348 by Glaviolette(140) $\"\"$ $\"About$

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I used a normal distribution to determine the probability. \r
\n" ); document.write( "\n" ); document.write( "z = (0.50 - 0.53)/sq rt (.53*.47/2000)\r
\n" ); document.write( "\n" ); document.write( "The 0.50 is representing the less than half that we want painted. .53 is the percent of homes that were painted white. .47 is the q value, or percent that are not painted white.\r
\n" ); document.write( "\n" ); document.write( "z = -2.68\r
\n" ); document.write( "\n" ); document.write( "From a z-table area = .0037\r
\n" ); document.write( "\n" ); document.write( "P(p < 50%) = .0037 \n" ); document.write( "

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