document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=469027>Question 469027</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would be truly grateful if a tutor could show me how to do these prblems or at least give me the equation to set them up.\r<BR>\n" );
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document.write( "With probability 0.05 a robotic reporter that works for MEOW NEWS will make a false statement.<BR>\n" );
document.write( "Suppose the reporter produced 1900 statements last week.\r<BR>\n" );
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document.write( "12. (1 point) What is the expected number of false statements, and the standard deviation?\r<BR>\n" );
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document.write( "13. (1 point) What is the probability that 85 or fewer of those statements were false? Round answer to<BR>\n" );
document.write( "four places after the decimal point.\r<BR>\n" );
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document.write( "14. (1 point) What is the probability that 124 or more of those statements were false? Round answer to<BR>\n" );
document.write( "four places after the decimal point.\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 #321828 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=321828\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With probability 0.05 a robotic reporter that works for MEOW NEWS will make a false statement.<BR>\n" );
document.write( "Suppose the reporter produced 1900 statements last week. <BR>\n" );
document.write( "12. (1 point) What is the expected number of false statements, and the standard deviation?<BR>\n" );
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document.write( "E(x) = np = 1900*0.05 = 5*19 = 95<BR>\n" );
document.write( "std = sqrt(npq) = sqrt[95*0.95] = 9.5\r<BR>\n" );
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document.write( "13. (1 point) What is the probability that 85 or fewer of those statements were false? Round answer to four places after the decimal point.<BR>\n" );
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document.write( "P(0<= x <= 85) = binomcdf(1900,0.05,85) = 0.1586<BR>\n" );
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document.write( "14. (1 point) What is the probability that 124 or more of those statements were false? Round answer to four places after the decimal point.<BR>\n" );
document.write( "P(124 <= x <= 1900) = 1 - binomcdf(1900,0.05,123) = 0.0019<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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