document.write( "Question 1199249: 3. Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of U=1.3kg and a standard deviation of alpha =5.6kg.
\n" );
document.write( "a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #833042 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Assume that the amounts of weight that male college students gain during their freshman \n" ); document.write( "year are normally distributed with a mean of 1.3 kg and a standard deviation of 5.6 kg. \n" ); document.write( "If one male college student is randomly selected, find the probability \n" ); document.write( "that he gains between 0 kg and 3 kg during freshman year. \n" ); document.write( "~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Every normal distribution curve is a bell shaped curve.\r\n" ); document.write( "\r\n" ); document.write( "In this problem, they want you determine the area under this specific normal curve\r\n" ); document.write( "between the raw marks from 0 to 3 kg. This area is the sought probability.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Go to web-site https://onlinestatbook.com/2/calculators/normal_dist.html\r\n" ); document.write( "and find there free of charge online calculator, specially developed for this purpose.\r\n" ); document.write( "\r\n" ); document.write( "Input the mean value 1.3 and the standard deviation value 5.6;\r\n" ); document.write( "input 0 and 3 in the window \"Between\"; then click \"Recalculate\".\r\n" ); document.write( "\r\n" ); document.write( "You will get the ANSWER 0.2111 in the window \"Probability\".\r\n" ); document.write( "\r\n" ); document.write( "The auxiliary plot will show you the area of the interest.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now, when you know \"what to do\", I will tell you that you can get the same result \r\n" ); document.write( "using your calculator TI-83 or TI-84 (or whatever).\r\n" ); document.write( "\r\n" ); document.write( "For it, use the calculator' standard function normalcdf with parameters\r\n" ); document.write( "\r\n" ); document.write( " z1 z2 mean SD \r\n" ); document.write( "\r\n" ); document.write( " P = normalcdf( 0, 3, 1.3, 5.6) = 0.2111.\r\n" ); document.write( "\r\n" ); document.write( "You will get the same value of the probability 0.2111 from your calculator.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "At this point, the solution is completed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "///////////////\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "From my post, you learned two methods/approaches of solving such problems.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |