document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=842552>Question 842552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Eighty percent of (80%)of business travelers carry either a cell phone or a laptop. Assume a binomial probability distribution for the number x of business travelers carrying a cell phone or a laptop om a given sample.<BR>\n" );
document.write( "Suppose that a sample of 15 business travelers is randomly selected.\r<BR>\n" );
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document.write( "A)what are the possible values of the number of business travelers carrying a cell phone or a laptop in the sample? x=\r<BR>\n" );
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document.write( "B)What is the expected number of business travelers carrying a phone or a laptop in such a sample?\r<BR>\n" );
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document.write( "C) Is this probability distribution skewed to right or left?\r<BR>\n" );
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document.write( "D)Compute the standard deviation of the number of business travelers carrying a phone or a laptop in such a sample.\r<BR>\n" );
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document.write( "E)What is the probability that exactly 8 business travelers in a sample carry a cell phone or a laptop?\r<BR>\n" );
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document.write( "F)What is the probability that 7 of the 15 business travelers have neither a cell phone nor a laptop?\r<BR>\n" );
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document.write( "G)What is the probability that at least 10(ten) business travelers in the sample have a cell phone or a laptop?\r<BR>\n" );
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document.write( "I'm having trouble with this problem \r<BR>\n" );
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document.write( "thank you in advance for your help :)\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 #507623 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=507623\">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 respectively. <BR>\n" );
document.write( "In this case p(carry either a cell phone or a laptop) = .8 & q = .2  and  n = 15<BR>\n" );
document.write( "A)what are the possible values of the number of business travelers carrying a cell phone or a laptop in the sample? <BR>\n" );
document.write( " 0 &#8804;  x  &#8804;   15<BR>\n" );
document.write( "B)What is the expected number of business travelers carrying a phone or a laptop in such a sample? <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.8%2A15+=+12 ALIGN=MIDDLE  ALT=\".8%2A15+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "C) Is this probability distribution skewed to right or left?<BR>\n" );
document.write( "Note:  distributions with fewer observations on the left (toward lower values) are said to be skewed left.<BR>\n" );
document.write( "D)Compute the standard deviation of the number of business travelers carrying a phone or a laptop in such a sample. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2815%2A.8%2A.2%29 ALIGN=MIDDLE  ALT=\"sqrt%2815%2A.8%2A.2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "E)What is the probability that exactly 8 business travelers in a sample carry a cell phone or a laptop?<BR>\n" );
document.write( "TI Calculator: binompdf(n, p, x-value) = binompdf(15, .8,8) <BR>\n" );
document.write( "F)What is the probability that 7 of the 15 business travelers have neither a cell phone nor a laptop? binompdf(15, .2,7) <BR>\n" );
document.write( "G)What is the probability that at least 10(ten) business travelers in the sample have a cell phone or a laptop? <BR>\n" );
document.write( "1 – binomcdf(n, p, largest x-value)= 1 – binomcdf(15, .8, 9) </SPAN>\n" );
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