document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=846485>Question 846485</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability that an American household has a gun is 0.34 . Five American households are selected at random.  (Report answers rounded to four decimal places.      <BR>\n" );
document.write( " <BR>\n" );
document.write( "(a) What is the probability that exactly two of the five households have a gun?<BR>\n" );
document.write( "Show work.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(b) What is the probability that none of the five households has a gun?<BR>\n" );
document.write( "Show some work/explanation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(c) What is the probability that all five of the households have a gun?<BR>\n" );
document.write( "Show some work/explanation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(d) What is the probability that at least one of the five households has a gun?<BR>\n" );
document.write( "Show some work/explanation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #509758 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=509758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><font face = \"Tohoma\" size = 3 color = \"indigo\"><b> <BR>\n" );
document.write( "Hi,<BR>\n" );
document.write( "Note: The probability of x successes in n trials is: <BR>\n" );
document.write( "P = nCx* <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5Ex%2Aq%5E%28n-x%29 ALIGN=MIDDLE  ALT=\"p%5Ex%2Aq%5E%28n-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where p and q are the probabilities of success and failure <BR>\n" );
document.write( "p = .34,  n = 5<BR>\n" );
document.write( "TI or long hand<BR>\n" );
document.write( "P(x=2) = binompdf(n, p, x-value)= binompdf(5, .34, 2)  Or 5C2 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.34%29%5E2%2A%28.66%29%5E3 ALIGN=MIDDLE  ALT=\"%28.34%29%5E2%2A%28.66%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.34%29%5E2%2A%28.66%29%5E3 ALIGN=MIDDLE  ALT=\"%28.34%29%5E2%2A%28.66%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(x =0)= binompdf(n, p, x-value)= binompdf(5, .34, 0)  0r <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.34%29%5E0%2A%28.66%29%5E5 ALIGN=MIDDLE  ALT=\"%28.34%29%5E0%2A%28.66%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(x =5)= binompdf(n, p, x-value)= binompdf(5, .34, 5) 0r <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.34%29%5E5%2A%28.66%29%5E0 ALIGN=MIDDLE  ALT=\"%28.34%29%5E5%2A%28.66%29%5E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(x &#8805; 1) = 1 -binomcdf(n, p, largest x-value) =  1 -binomcdf(5 .34. 0) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );