document.write( "Question 204953:
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document.write( " The total amount being spent on personal calls in a month by employees of a company follows a normal distribution with a mean of $900 and a standard deviation of $50 . Find the probability that in a randomly selected month the amount spent on personal calls is less than $750\r
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document.write( "i cant seem to figure this out or even know where to begin!... i would be so,so,so greatful if someone would point me in the right direction and at least give me some tools!please! \n" );
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Algebra.Com's Answer #154693 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The total amount being spent on personal calls in a month by employees of a company follows a normal distribution with a mean of $900 and a standard deviation of $50 . Find the probability that in a randomly selected month the amount spent on personal calls is less than $750 \n" ); document.write( "-------------------------------------------- \n" ); document.write( "Draw a normal curve; put u=900 in the middle and sigma = 50 under that. \n" ); document.write( "Mark the 750 point on the horizontal axis(x-axis). \n" ); document.write( "Shade the area under the curve to the left of 750. \n" ); document.write( "That is the area you are looking for. \n" ); document.write( "--- \n" ); document.write( "Draw a normal curve and let the horizontal axis be \"z-scores\". \n" ); document.write( "Put 0 in the middle. \n" ); document.write( "Find the z-score of 750: \n" ); document.write( "z(750) = (750-900)/50 = -3 \n" ); document.write( "Mark -3 on the z-axis and shade the area to the left of z = -3.\r \n" ); document.write( "\n" ); document.write( "----------------------------- \n" ); document.write( "Now use a calculator, or software, or a z-chart to find the following: \n" ); document.write( "P(x<750) = P(z<-3) = normalcdf(-100,-3) = 0.001350 \n" ); document.write( "----------------------------- \n" ); document.write( "I used a TI calculator to find the probability. \n" ); document.write( "Let me know if this \"explanation\" does not help. \n" ); document.write( "----------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan . \n" ); document.write( " |