document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192904>Question 1192904</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mathematics  Business Statistics The Tea Delish Company claims that 40% of its customers<BR>\n" );
document.write( "The Tea Delish Company claims that 40% of its customers<BR>\n" );
document.write( " Need more help!<BR>\n" );
document.write( "The Tea Delish Company claims that 40% of its customers are between 35 to 45 years of age. In a random sample of 250 customers:<BR>\n" );
document.write( "a. What is the probability that between 100 and 115 customers were in the 35 to 45 years age range?<BR>\n" );
document.write( "b. What is the probability that more than 120 customers were in the 35 to 45 years age range?<BR>\n" );
document.write( "c. What is the probability that fewer than 90 or more than 120 customers were in the 35 to 45 years age range? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824838 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=824838\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean is np=100<BR>\n" );
document.write( "variance is np(1-p)=60<BR>\n" );
document.write( "sd is sqrt(V)=7.75<BR>\n" );
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document.write( "between 100 and 115 is 99.5 to 115.5 using continuity correction factor for normal approximation<BR>\n" );
document.write( "that is z=(99.5-100)/7.75=-0.06 and (115.5-100)/7.75=2. Probability is 0.5012<BR>\n" );
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document.write( "more than 120 is z=(120.5-100)/7.75=2.645<BR>\n" );
document.write( "z> 2.65 with probability of 0.0041<BR>\n" );
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document.write( "fewer than 90 use (89.5-100)/7.75 for z<-1.355 for probability 0.0877<BR>\n" );
document.write( "Adding that to the other probability, the answer is 0.0918.<BR>\n" );
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