document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=47918>Question 47918</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4.	The probability that a married man watches a certain television shows is 0.4 and the probability that a married woman watches the show is 0.5, the probability that a man watches the show given that his wife does is 0.7. Find the probability that<BR>\n" );
document.write( "a.)	A married couple watches the show and<BR>\n" );
document.write( "b.)	At least 1 person of a married couple will watch the show.<BR>\n" );
document.write( "13.	A call center operator working in the night shift reports that the average numbers of incoming queries is 3.2 per minute. Determine the probability that during a given minute, there will be<BR>\n" );
document.write( "a.)	At most 3 incoming calls?<BR>\n" );
document.write( "b.)	Four or more incoming calls?<BR>\n" );
document.write( "14.	A company pays its employees an average wage of 60 pesos an hour with a standard deviation of 10 pesos. If the wages are approximately normally distributed and paid to the nearest cent. <BR>\n" );
document.write( "a.)	What percentage of the workers receive wages between 48 pesos and 69 pesos an hour inclusive?<BR>\n" );
document.write( "b.)	The highest 5% of the employee hourly wages is greater than what amount?<BR>\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 #33334 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=33334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4.	The probability that a married man watches a certain television shows is 0.4 [P(m)=0.4]and the probability that a married woman watches the show is 0.5 [P(w)=0.5], the probability that a man watches the show given that his wife does is 0.7 [P(m|w)=0.7].<BR>\n" );
document.write( "---------------  <BR>\n" );
document.write( "Find the probability that<BR>\n" );
document.write( "a.) A married couple watches the show:<BR>\n" );
document.write( "P(m|w)=[P(m and w)]/[P(w)]<BR>\n" );
document.write( "Therefore P(m and w) = 0.7*0.5=0.35<BR>\n" );
document.write( "--------------\r<BR>\n" );
document.write( "\n" );
document.write( "b.) At least 1 person of a married couple will watch the show.<BR>\n" );
document.write( "P(at least 1 person of a couple will watch)= 1- P (neither watch)<BR>\n" );
document.write( "=1 - P(man doesn't watch)*P(woman doesn't watch)<BR>\n" );
document.write( "=1 - 0.6*0.5 = 1- 0.30 = 0.70<BR>\n" );
document.write( "----------------\r<BR>\n" );
document.write( "\n" );
document.write( "13.	A call center operator working in the night shift reports that the average numbers of incoming queries is 3.2 per minute. Determine the probability that during a given minute, there will be<BR>\n" );
document.write( "a.)	At most 3 incoming calls?<BR>\n" );
document.write( "b.)	Four or more incoming calls?<BR>\n" );
document.write( "Can't do these unless you know the standard deviation of number of calls.<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "14.	A company pays its employees an average wage of 60 pesos an hour with a standard deviation of 10 pesos. If the wages are approximately normally distributed and paid to the nearest cent. <BR>\n" );
document.write( "a.)	What percentage of the workers receive wages between 48 pesos and 69 pesos an hour inclusive?<BR>\n" );
document.write( "Convert 48 and 69 to z scores.<BR>\n" );
document.write( "Find the area under the normal curve above the <BR>\n" );
document.write( "z-interval you find.<BR>\n" );
document.write( "Answer:  70%<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "b.)	The highest 5% of the employee hourly wages is greater than what amount?<BR>\n" );
document.write( "Find the z-value corresponding to 95% under the curve. Ans: z=1.645<BR>\n" );
document.write( "Find the corresponding raw score value using mean=60 and std = 10.<BR>\n" );
document.write( "Ans: 76.45<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" );