document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030310>Question 1030310</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!<BR>\n" );
document.write( "My question is: The weights of ripe watermelons grown at Mr. Smith's farm are normally distributed with a standard deviation of 2.8 lbs. Find the mean weight of Mr.Smith's ripe watermelons if only 3% weigh less than 15lbs.\r<BR>\n" );
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document.write( "Thank you for your help!! </SPAN>\n" );
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document.write( "Question:<BR>\n" );
document.write( "Hello!<BR>\n" );
document.write( "My question is: The weights of ripe watermelons grown at Mr. Smith's farm are normally distributed with a standard deviation of 2.8 lbs. Find the mean weight of Mr.Smith's ripe watermelons if only 3% weigh less than 15lbs.<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "This is a nice question that digs into the understanding of the Normal Distribution parameters.<BR>\n" );
document.write( "If only 3% weigh less than 15 lbs, then we can find the standard deviation from 3% using the normal distribution table or function:<BR>\n" );
document.write( "P(Z)=97%, Z=+1.8808.<BR>\n" );
document.write( "Since standard deviation is given as 2.8 lbs, so <BR>\n" );
document.write( "&mu;+1.8808*2.8=15 lbs, or <BR>\n" );
document.write( "&mu;=15-1.8808*2.8=15-5.27=9.73 lb.<BR>\n" );
document.write( "Ans. the mean weight is 9.73 lb. (approx.) </SPAN>\n" );
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