document.write( "Question 545197: A survey report states that 70% of adult women visit their doctors for a physical examination at least once in two years. If 20 adult women are randomly selected, find the probability that fewer than 14 of them have had a physical examination in the past two years.\r
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Algebra.Com's Answer #355532 by Edwin McCravy(20055) $\"\"$ $\"About$

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A survey report states that 70% of adult women visit their doctors for a physical examination at least once in two years. If 20 adult women are randomly selected, find the probability that fewer than 14 of them have had a physical examination in the past two years.
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document.write( "There are several methods.  I will explain the first 2.\r\n" );
document.write( "1. By a cumulative prabability table.\r\n" );
document.write( "2. By a TI-84 calculator\r\n" );
document.write( "3. By a computer program\r\n" );
document.write( "4. By formula calculation (so much calculation would make this method impractical, but not impossible)\r\n" );
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document.write( "1. Find this cumulative probability table headed \"n=20\" in your book, or the\r\n" );
document.write( "website http://www.statisticshowto.com/tables/binomial-distribution-table/\r\n" );
document.write( "from which I copied and pasted it.  You must interpret the words \r\n" );
document.write( "\"fewer than 14\" as \"13 or fewer\", go down the column headed by \"p=0.7\" to\r\n" );
document.write( "the row with \"x=13\" and read 0.392 which I have colored red and underlined: \r\n" );
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document.write( "n=20\r\n" );
document.write( " p \r\n" );
document.write( " x  0.05   0.1  0.15   0.2  0.25   0.3  0.35   0.4  0.45   0.5  0.55   0.6  0.65   0.7  0.75   0.8  0.85   0.9  0.95 \r\n" );
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document.write( " 0 0.358 0.122 0.039 0.012 0.003 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 \r\n" );
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document.write( " 1 0.736 0.392 0.176 0.069 0.024 0.008 0.002 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 \r\n" );
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document.write( " 2 0.925 0.677 0.405 0.206 0.091 0.035 0.012 0.004 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 \r\n" );
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document.write( " 3 0.984 0.867 0.648 0.411 0.225 0.107 0.044 0.016 0.005 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 \r\n" );
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document.write( " 4 0.997 0.957 0.830 0.630 0.415 0.238 0.118 0.051 0.019 0.006 0.002 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 \r\n" );
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document.write( " 5 1.000 0.989 0.933 0.804 0.617 0.416 0.245 0.126 0.055 0.021 0.006 0.002 0.000 0.000 0.000 0.000 0.000 0.000 0.000 \r\n" );
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document.write( " 6 1.000 0.998 0.978 0.913 0.786 0.608 0.417 0.250 0.130 0.058 0.021 0.006 0.002 0.000 0.000 0.000 0.000 0.000 0.000 \r\n" );
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document.write( " 7 1.000 1.000 0.994 0.968 0.898 0.772 0.601 0.416 0.252 0.132 0.058 0.021 0.006 0.001 0.000 0.000 0.000 0.000 0.000 \r\n" );
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document.write( " 8 1.000 1.000 0.999 0.990 0.959 0.887 0.762 0.596 0.414 0.252 0.131 0.057 0.020 0.005 0.001 0.000 0.000 0.000 0.000 \r\n" );
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document.write( " 9 1.000 1.000 1.000 0.997 0.986 0.952 0.878 0.755 0.591 0.412 0.249 0.128 0.053 0.017 0.004 0.001 0.000 0.000 0.000 \r\n" );
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document.write( "10 1.000 1.000 1.000 0.999 0.996 0.983 0.947 0.872 0.751 0.588 0.409 0.245 0.122 0.048 0.014 0.003 0.000 0.000 0.000 \r\n" );
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document.write( "11 1.000 1.000 1.000 1.000 0.999 0.995 0.980 0.943 0.869 0.748 0.586 0.404 0.238 0.113 0.041 0.010 0.001 0.000 0.000 \r\n" );
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document.write( "12 1.000 1.000 1.000 1.000 1.000 0.999 0.994 0.979 0.942 0.868 0.748 0.584 0.399 0.228 0.102 0.032 0.006 0.000 0.000 \r\n" );
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document.write( "13 1.000 1.000 1.000 1.000 1.000 1.000 0.998 0.994 0.979 0.942 0.870 0.750 0.583 0.392 0.214 0.087 0.022 0.002 0.000 \r\n" );
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document.write( "14 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.998 0.994 0.979 0.945 0.874 0.755 0.584 0.383 0.196 0.067 0.011 0.000 \r\n" );
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document.write( "15 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.998 0.994 0.981 0.949 0.882 0.762 0.585 0.370 0.170 0.043 0.003 \r\n" );
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document.write( "16 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.999 0.995 0.984 0.956 0.893 0.775 0.589 0.352 0.133 0.016 \r\n" );
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document.write( "17 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.999 0.996 0.988 0.965 0.909 0.794 0.595 0.323 0.075 \r\n" );
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document.write( "18 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.999 0.998 0.992 0.976 0.931 0.824 0.608 0.264 \r\n" );
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document.write( "19 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.999 0.997 0.988 0.961 0.878 0.642 \r\n" );
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document.write( "20 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 \r\n" );
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document.write( "-----------------------\r\n" );
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document.write( "2. By TI-84 (or TI-83) calculator:\r\n" );
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document.write( "(You must also interpret the words \"fewer than 14\" as \"13 or fewer\")\r\n" );
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document.write( "Press 2ND\r\n" );
document.write( "Press VARS\r\n" );
document.write( "scroll down to binomcdf(\r\n" );
document.write( "Press ENTER\r\n" );
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document.write( "[If you have the newer version, set trials at 20, p at 0.7, x value at 13,\r\n" );
document.write( "highlight Paste, Press ENTER]\r\n" );
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document.write( "If you have the older version you must type in the missing parts of this\r\n" );
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document.write( "binomcdf(20,0,7,\r\n" );
document.write( "13)\r\n" );
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document.write( "but with either version that's what you must have on your screen.\r\n" );
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document.write( "Press ENTER\r\n" );
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document.write( "Read .3919901882, which rounds to the 0.392 that you read from the table.\r\n" );
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document.write( "Edwin

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