document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204065>Question 1204065</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An oil company estimates that only 1 well in 25 will yield commercial quantities of oil. Assume that successful drilled wells represent independent events. If 5 wells are drilled, find the probability of obtaining a commercially successful well for the following number of times. (Round your answer to six decimal places.)<BR>\n" );
document.write( "exactly 2<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840077 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52788)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=840077\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "An oil company estimates that only 1 well in 25 will yield commercial quantities of oil. <BR>\n" );
document.write( "Assume that successful drilled wells represent independent events. <BR>\n" );
document.write( "If 5 wells are drilled, find the probability of obtaining a commercially successful well <BR>\n" );
document.write( "for the following number of times. (Round your answer to six decimal places.)<BR>\n" );
document.write( "exactly 2<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "It is a typical binomial distribution probability problem.\r\n" );
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document.write( "The number of trials is n= 5.\r\n" );
document.write( "The probability of each individual trial success is p= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F25 ALIGN=MIDDLE  ALT=\"1%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.04.\r\n" );
document.write( "The number of successful trials is 2 of 25.\r\n" );
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document.write( "Use the standard formula for probability\r\n" );
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document.write( "    P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B25%5D%5E2%2Ap%5E2%2A%281-p%29%5E%2825-2%29 ALIGN=MIDDLE  ALT=\"C%5B25%5D%5E2%2Ap%5E2%2A%281-p%29%5E%2825-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300%2A0.04%5E2%2A0.96%5E23 ALIGN=MIDDLE  ALT=\"300%2A0.04%5E2%2A0.96%5E23\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.187707   (rounded).    <U>ANSWER</U>\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "To see many other similar &nbsp;(and different) &nbsp;solved problems, &nbsp;look into the lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Solving-problems-on-Binomial-distribution-manually.lesson>Simple and simplest probability problems on Binomial distribution</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Typical-binomial-distribution-probability-problems.lesson>Typical binomial distribution probability problems</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Learn the entire subject from there.\r<BR>\n" );
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document.write( "In this problem, the most unusual feature is the instruction to round to 6 decimal places.\r<BR>\n" );
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document.write( "A normal engineer, with healthy mind, would say that they lost their common sense.\r<BR>\n" );
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