document.write( "Question 1199400: Find the area under the SND from 0 to 1.45
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document.write( "Ans: 0.4265
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Algebra.Com's Answer #833268 by math_tutor2020(3817) ![]() You can put this solution on YOUR website! \n" ); document.write( "You can use an online calculator such as this one \n" ); document.write( "https://davidmlane.com/normal.html \n" ); document.write( "The mean and standard deviation are 0 and 1 respectively. \n" ); document.write( "Click the \"between\" radio button. Then type in 0 and 1.45 into the left and right boxes in that order. \n" ); document.write( "Then click \"recalculate\" to have 0.4265 show up. \n" ); document.write( "The normal distribution diagram updates as well.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Yet another calculator is wolfram alpha \n" ); document.write( "Type \"normalcdf(0,1.45)\" without quotes into the service, and it will display the answer mentioned. \n" ); document.write( "The thing you want is the one that mentions 0 < z < 1.45 (inner).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are many other similar free online options.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Or you can use the normalcdf function on your TI83/TI84 calculator. \n" ); document.write( "Press the button labeled \"2nd\". Then press the \"VARS\" key. \n" ); document.write( "The normalcdf function is the 2nd item in the list.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The template of the normalcdf function is this \n" ); document.write( "normalcdf(lower,upper,mu,sigma) \n" ); document.write( "where, \n" ); document.write( "lower = left or lower boundary \n" ); document.write( "upper = right or upper boundary \n" ); document.write( "mu = mean \n" ); document.write( "sigma = standard deviation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Another template is \n" ); document.write( "normalcdf(lower,upper) \n" ); document.write( "where the lower and upper are the same as mentioned above. \n" ); document.write( "The other two inputs can be left out, and they are assumed to be 0 and 1 respectively. \n" ); document.write( "These values are used so frequently that it's best to use this shorter template.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In your case you'd type in \n" ); document.write( "normalcdf(0,1.45)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If your teacher wants you to use a table, then refer to the back of your textbook.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Here is a website that offers a free Z table if you don't have your textbook with you. \n" ); document.write( "https://www.ztable.net/\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use the table to find that \n" ); document.write( "P(z < 0) = 0.5 exactly \n" ); document.write( "P(z < 1.45) = 0.92647 approximately\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, \n" ); document.write( "P(a < z < b) = P(z < b) - P(z < a) \n" ); document.write( "P(0 < z < 1.45) = P(z < 1.45) - P(z < 0) \n" ); document.write( "P(0 < z < 1.45) = 0.92647 - 0.5 \n" ); document.write( "P(0 < z < 1.45) = 0.42647 \n" ); document.write( "P(0 < z < 1.45) = 0.4265 \n" ); document.write( " \n" ); document.write( " |