document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=362835>Question 362835</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It is estimated that 60% of all college graduates find a job in their chosen career field within one year of graduation.  If six college graduates from the year 2009 are chosen at random, let x be the number who found a job within one year.  \r<BR>\n" );
document.write( "\n" );
document.write( "I have calculated the probabilities as follow:  P(0) .004, P(1) .037, P(2) .138, P(3) .276, P(4) .311 P(5) .187 P(6) .047\r<BR>\n" );
document.write( "\n" );
document.write( "a) what is the probability that fewer than 4 found a job in their field?  I think it is .455\r<BR>\n" );
document.write( "\n" );
document.write( "b) what is the probability that all of them found a job in their field?  I think it is 1\r<BR>\n" );
document.write( "\n" );
document.write( "c) Compute the mean, the expected number of job seekers (round to the appropriate whole number) I think it is 4 people\r<BR>\n" );
document.write( "\n" );
document.write( "d) Compute the standard deviation of the number of successful job seekers.  I think it is either 1.2 or 1.27\r<BR>\n" );
document.write( "\n" );
document.write( "Any help with the doublechecks would be great.  Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #258665 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=258665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is estimated that 60% of all college graduates find a job in their chosen career field within one year of graduation. If six college graduates from the year 2009 are chosen at random, let x be the number who found a job within one year. <BR>\n" );
document.write( "I have calculated the probabilities as follow: P(0) .004, P(1) .037, P(2) .138, P(3) .276, P(4) .311 P(5) .187 P(6) .047<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Binomial Problem with n=6 and p = 0.6<BR>\n" );
document.write( " <BR>\n" );
document.write( "a) what is the probability that fewer than 4 found a job in their field? I think it is .455<BR>\n" );
document.write( "OK<BR>\n" );
document.write( "------ <BR>\n" );
document.write( "b) what is the probability that all of them found a job in their field? I think it is 1<BR>\n" );
document.write( "No.<BR>\n" );
document.write( "P(x=6) = 0.06^6 = 0.04666  as you listed above.<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "c) Compute the mean, the expected number of job seekers (round to the appropriate whole number) I think it is 4 people<BR>\n" );
document.write( "mean of binomial = np = 6*0.6 = 3.6<BR>\n" );
document.write( "-------------------------- <BR>\n" );
document.write( "d) Compute the standard deviation of the number of successful job seekers. I think it is either 1.2 or 1.27<BR>\n" );
document.write( "--<BR>\n" );
document.write( "std of binomial is sqrt(npq) = sqrt(6*0.6*0.4)= 1.2<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );