document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197433>Question 1197433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.According to company records, 5% of all automobiles brought to Geoff's Garage last year for a state-mandated annual inspection did not pass. Of the next 10 automobiles entering the inspection station,<BR>\n" );
document.write( "a.	what is the probability that none will pass inspection?<BR>\n" );
document.write( "c.	what is the probability that exactly 2 will not pass inspection?\r<BR>\n" );
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document.write( "My Work:<BR>\n" );
document.write( "a. n=10, x=0, p=0.05<BR>\n" );
document.write( "f(x)=10!/10! (10-0)! * 0.05^0*(1-0.05)^10-0<BR>\n" );
document.write( "f(x)= 1/1*1(0.95)^10<BR>\n" );
document.write( "f(x)=0.598736923838 wrong\r<BR>\n" );
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document.write( "c.n=10, p=0.05, x=10-2=8<BR>\n" );
document.write( "f(x)=10!/8!(10-8)!*.05^8(1-.05)^(10-8)<BR>\n" );
document.write( "=45*2.79310221^-7<BR>\n" );
document.write( "=0.00001256895 wrong\r<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 #830696 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=830696\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "I appreciate you showing your work and thought process.\r<BR>\n" );
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document.write( "Part (a)\r<BR>\n" );
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document.write( "You have \"passed inspection\" and \"did not pass inspection\" mixed up.\r<BR>\n" );
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document.write( "The 5% refers to vehicles that did not pass.<BR>\n" );
document.write( "So you'll use x = 10, where x is the number of vehicles that didn't pass.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+expr%28%2810%21%29%2F%28x%21%2A%2810-x%29%21%29%29%2A%280.05%29%5Ex%2A%281-0.05%29%5E%2810-x%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2810%29+=+expr%28%2810%21%29%2F%2810%21%2A%2810-10%29%21%29%29%2A%280.05%29%5E10%2A%281-0.05%29%5E%2810-10%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2810%29+=+expr%28%2810%21%29%2F%2810%21%2A0%21%29%29%2A%280.05%29%5E10%2A%280.95%29%5E%280%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2810%29+=+1%2A%280.05%29%5E10%2A%280.95%29%5E%280%29 ALIGN=MIDDLE  ALT=\"f%2810%29+=+1%2A%280.05%29%5E10%2A%280.95%29%5E%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2810%29+=+%280.05%29%5E10 ALIGN=MIDDLE  ALT=\"f%2810%29+=+%280.05%29%5E10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2810%29+=+9.765625+%2A+10%5E%28-14%29 ALIGN=MIDDLE  ALT=\"f%2810%29+=+9.765625+%2A+10%5E%28-14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Some calculators will display this as 9.765625E-14<BR>\n" );
document.write( "The uppercase E refers to \"ten to the\" where we then specify the exponent after the 10. \r<BR>\n" );
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document.write( "To convert this to standard notation, we move the decimal point 14 spots to the left to go from 9.765625 to<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">0.000  000  000  000  097  656  25</PRE>The spacing between the digits is to make the number more readable. Otherwise it would look like this<BR>\n" );
document.write( "0.00000000000009765625\r<BR>\n" );
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document.write( "Since the number is so incredibly small, it's better to use scientific notation. It'll avoid the tedious pain of having to write out all of those zeros. There are 13 zeros between the decimal point and the digit 9.\r<BR>\n" );
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document.write( "===================================================================\r<BR>\n" );
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document.write( "Part (b)\r<BR>\n" );
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document.write( "This time we use x = 2 so we can determine the probability exactly 2 cars not passing inspection.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29+=+expr%28%2810%21%29%2F%282%21%2A%2810-2%29%21%29%29%2A%280.05%29%5E2%2A%281-0.05%29%5E%2810-2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29+=+45%2A%280.05%29%5E2%2A%281-0.05%29%5E%2810-2%29 ALIGN=MIDDLE  ALT=\"f%282%29+=+45%2A%280.05%29%5E2%2A%281-0.05%29%5E%2810-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29+=+0.07463479852001 ALIGN=MIDDLE  ALT=\"f%282%29+=+0.07463479852001\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "The answer is approximately 0.07463479852001\r<BR>\n" );
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document.write( "Round that value however your teacher instructs.<BR>\n" );
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