document.write( "Question 1209735: 69% of all Americans are home owners. If 37 Americans are randomly selected, find the probability that\r
\n" ); document.write( "\n" ); document.write( "a. Exactly 27 of them are are home owners. \r
\n" ); document.write( "\n" ); document.write( "b. At most 27 of them are are home owners. \r
\n" ); document.write( "\n" ); document.write( "c. At least 23 of them are home owners. \r
\n" ); document.write( "\n" ); document.write( "d. Between 23 and 28 (including 23 and 28) of them are home owners. \n" ); document.write( "

Algebra.Com's Answer #851886 by ikleyn(52803) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "69% of all Americans are home owners. If 37 Americans are randomly selected, find the probability that
\n" ); document.write( "a. Exactly 27 of them are are home owners.
\n" ); document.write( "b. At most 27 of them are are home owners.
\n" ); document.write( "c. At least 23 of them are home owners.
\n" ); document.write( "d. Between 23 and 28 (including 23 and 28) of them are home owners.
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\n" ); document.write( "\n" ); document.write( "        Calculations in the post by @CPhill ALL are INCORRECT,
\n" ); document.write( "        including each and every part (a), (b), (c) and (d).\r
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\n" ); document.write( "\n" ); document.write( "        Below are my correct answers.\r
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document.write( "(a)  P(n=37; k = 27, p = 0.69) =  =  = 0.1272 (rounded).\r\n" );
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document.write( "(b)  P(n=37; k <=27, p=0.69) = 0.75415  (rounded).\r\n" );
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document.write( "(c)  P(n=37; k >= 23; p=0.69) = use cumulative formula = 1 - P(k <= 22) = 1 - 0.1412 = 0.8588    (rounded).\r\n" );
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document.write( "(d)  P(n=37; 23 <= k <= 27) = P(k <= 27) - P(k <= 22) = use cumulative probabilities for k= 27 and k= 22   ==>\r\n" );
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document.write( "                            = 0.75415 - 0.1412 = 0.61295.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "All these calculations can be EASILY done using an online free of charge calculator for binomial probabilities
\n" ); document.write( "https://stattrek.com/online-calculator/binomial/\r
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\n" ); document.write( "\n" ); document.write( "        But if you want your head to split in half,
\n" ); document.write( "           then follow @CPhill's instructions.\r
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\n" ); document.write( "\n" ); document.write( "I am chocked by seeing this gibberish, which @CPhill produced in his post.\r
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\n" ); document.write( "\n" ); document.write( "If it is \" Artificial Intelligence \" - then Lord please save us from such helpers.\r
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\n" ); document.write( "\n" ); document.write( "                Regarding the post by @CPhill . . . \r
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\n" ); document.write( "\n" ); document.write( "Keep in mind that @CPhill is a pseudonym for the Google artificial intelligence.\r
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\n" ); document.write( "\n" ); document.write( "The artificial intelligence is like a baby now. It is in the experimental stage
\n" ); document.write( "of development and can make mistakes and produce nonsense without any embarrassment.\r
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\n" ); document.write( "\n" ); document.write( "                It has no feeling of shame - it is shameless.\r
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\n" ); document.write( "\n" ); document.write( "This time, again, it made an error.\r
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\n" ); document.write( "\n" ); document.write( "Although the @CPhill' solutions are copy-paste Google AI solutions, there is one essential difference.\r
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\n" ); document.write( "\n" ); document.write( "Every time, Google AI makes a note at the end of its solutions that Google AI is experimental
\n" ); document.write( "and can make errors/mistakes.\r
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\n" ); document.write( "\n" ); document.write( "All @CPhill' solutions are copy-paste of Google AI solutions, with one difference:
\n" ); document.write( "@PChill never makes this notice and never says that his solutions are copy-past that of Google.
\n" ); document.write( "So, he NEVER SAYS TRUTH.\r
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\n" ); document.write( "\n" ); document.write( "Every time, @CPhill embarrassed to tell the truth.\r
\n" ); document.write( "\n" ); document.write( "But I am not embarrassing to tell the truth, as it is my duty at this forum.\r
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\n" ); document.write( "\n" ); document.write( "And the last my comment.\r
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\n" ); document.write( "\n" ); document.write( "When you obtain such posts from @CPhill, remember, that NOBODY is responsible for their correctness,
\n" ); document.write( "until the specialists and experts will check and confirm their correctness.\r
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\n" ); document.write( "\n" ); document.write( "Without it, their reliability is ZERO and their creadability is ZERO, too.\r
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\n" ); document.write( "\n" ); document.write( "Until now, I did not check the posts by @CPhill for probability,
\n" ); document.write( "because I thought that they were made professionally.\r
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\n" ); document.write( "\n" ); document.write( "But now I see that this attitude of mine was wrong,
\n" ); document.write( "because too many of his solutions/calculations are made extremely inaccurately,
\n" ); document.write( "so all these posts require careful checking.\r
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