document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=596348>Question 596348</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a Normal Probability Distribution problem.  Can I get some step by step help in solving this problem so I can try solving the other problems by myself.  I am really having a hard time.  Thank you so much.\r<BR>\n" );
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document.write( "The weights of the contents of cans of tomato sauce produced by a company are normally distributed with a mean of 8 ounces and a standard deviation of 0.2 ounces.\r<BR>\n" );
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document.write( "a.	What percentage of all cans produced contain more than 8.4 ounces of tomato paste?<BR>\n" );
document.write( "b.	What percentage of all cans produced contain less than 7.8 ounces?<BR>\n" );
document.write( "c.	What percentage of cans contains between 7.4 and 8.2 ounces?<BR>\n" );
document.write( "d.	Ninety-five percent of cans will contain at least how many ounces?<BR>\n" );
document.write( "e.	What percentage of cans contains between 8.2 and 8.4 ounces?<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 #377676 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=377676\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The weights of the contents of cans of tomato sauce produced by a company are normally distributed with a mean of 8 ounces and a standard deviation of 0.2 ounces.<BR>\n" );
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document.write( "The measurement rod you must used is the z-distribution.<BR>\n" );
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document.write( "a. What percentage of all cans produced contain more than 8.4 ounces of tomato paste?<BR>\n" );
document.write( "z(8.4) = (8.4-8)/0.2 = 0.4/0.2 = 2<BR>\n" );
document.write( "P(x > 8.4) = P(z > 2) = normalcdf(2,100) = 0.0228<BR>\n" );
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document.write( "b. What percentage of all cans produced contain less than 7.8 ounces?<BR>\n" );
document.write( "z(7.8) = (7.8-8)/0.2 = -1 <BR>\n" );
document.write( "P(x < 7.8) = P(z < -1) = normalcdf(-100,-1) = 0.1587<BR>\n" );
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document.write( "c. What percentage of cans contains between 7.4 and 8.2 ounces?<BR>\n" );
document.write( "z(7.4) = (7.4-8)/0.2 = -3<BR>\n" );
document.write( "z(8.2) = (8.2-8)/0.2 = 1<BR>\n" );
document.write( "P(7.4< x <8.2) = P(-3< z <-1) = normcdf(-3,-1) = 0.1573<BR>\n" );
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document.write( "d. Ninety-five percent of cans will contain at least how many ounces?<BR>\n" );
document.write( "Find the z-value with a left-tail of 0.95:<BR>\n" );
document.write( "invNorm(0.95) = 1.645<BR>\n" );
document.write( "Find the corresponding \"x\" value:<BR>\n" );
document.write( "x = zs+u<BR>\n" );
document.write( "x = 1.645*0.2+8 = 8.3290<BR>\n" );
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document.write( "e. What percentage of cans contains between 8.2 and 8.4 ounces?<BR>\n" );
document.write( "Using my TI-84: normalcdf(8.2,8.4,8,0.2) = 0.1359<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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