document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206753>Question 1206753</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A consumer looking to buy a used red Miata car will call dealerships until she finds a dealership that carries the car. She estimates the probability that any independent dealership will have the car will be 28%. We are interested in the number of dealerships she must call.<BR>\n" );
document.write( "On average, how many dealerships would we expect her to have to call until she finds one that has the car? (Round your answer to the nearest whole number.)<BR>\n" );
document.write( "Find the probability that she must call at most 7 dealerships. (Round your answer to four decimal places.)<BR>\n" );
document.write( "Find the probability that she must call 5 or 6 dealerships. (Round your answer to four decimal places.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #844379 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52817)</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=844379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A consumer looking to buy a used red Miata car will call dealerships until she finds a dealership <BR>\n" );
document.write( "that carries the car. She estimates the probability that any independent dealership will have the car <BR>\n" );
document.write( "will be 28%. We are interested in the number of dealerships she must call.<BR>\n" );
document.write( "(a) On average, how many dealerships would we expect her to have to call until she finds one <BR>\n" );
document.write( "that has the car? (Round your answer to the nearest whole number.)<BR>\n" );
document.write( "(b) Find the probability that she must call at most 7 dealerships. (Round your answer to four decimal places.)<BR>\n" );
document.write( "(c) Find the probability that she must call 5 or 6 dealerships. (Round your answer to four decimal places.)<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( "(b)  P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.28%2B%281-0.28%29%2A0.28%2B%281-0.28%29%5E2%2A0.28%2B%281-0.28%29%5E3%2A0.28%2B%281-0.28%29%5E4%2A0.28%2B%281-0.28%29%5E5%2A0.28%2B%281-0.28%29%5E6%2A0.28 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > =\r\n" );
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document.write( "         <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.28%2A%281%2B0.72%2B0.72%5E2%2B0.72%5E3%2B0.72%5E4%2B0.72%5E5%2B0.72%5E6%29 ALIGN=MIDDLE  ALT=\"0.28%2A%281%2B0.72%2B0.72%5E2%2B0.72%5E3%2B0.72%5E4%2B0.72%5E5%2B0.72%5E6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.28%2A%28%280.72%5E7-1%29%2F%280.72-1%29%29 ALIGN=MIDDLE  ALT=\"0.28%2A%28%280.72%5E7-1%29%2F%280.72-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-0.72%5E7 ALIGN=MIDDLE  ALT=\"1-0.72%5E7\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.9000 (rounded).\r\n" );
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document.write( "(c)  P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-0.28%29%5E4%2A0.28 ALIGN=MIDDLE  ALT=\"%281-0.28%29%5E4%2A0.28\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-0.28%29%5E5%2A0.28 ALIGN=MIDDLE  ALT=\"%281-0.28%29%5E5%2A0.28\"   DISABLED_style= \"max-width:90%; height:auto;\" > = use your calculator.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Thus &nbsp;(b) &nbsp;and &nbsp;(c) &nbsp;are solved, &nbsp;answered and explained.\r<BR>\n" );
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document.write( "I left &nbsp;(a) &nbsp;unanswered, &nbsp;since you packed TOO many questions in one post.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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