document.write( "Question 341087: Demand for residential electricity at 6:00 P.M. on the first Monday in October in Santa Theresa County is normally distributed with a mean of 4,905 MW (megawatts) and a standard deviation of 355 MW. Due to scheduled maintenance and unexpected system failures in a generating station the utility can supply a maximum of 5,200 MW at that time. What is the probability that the utility
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document.write( "will have to purchase electricity from other utilities or allow brownouts?\r
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document.write( "So I have tried this: \r
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document.write( "(5200-4905)/355 = 0.830986\r
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document.write( "I do not know if I have answered this question correctly. Please review and help me, if you can.\r
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document.write( "Thank you!! \n" );
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Algebra.Com's Answer #244229 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Demand for residential electricity at 6:00 P.M. on the first Monday in October in Santa Theresa County is normally distributed with a mean of 4,905 MW (megawatts) and a standard deviation of 355 MW. \n" ); document.write( "------------------------------------ \n" ); document.write( "Due to scheduled maintenance and unexpected system failures in a generating station the utility can supply a maximum of 5,200 MW at that time. \n" ); document.write( "----------------------- \n" ); document.write( "What is the probability that the utility will have to purchase electricity from other utilities or allow brownouts? \n" ); document.write( "So I have tried this: \n" ); document.write( "z(5200) = (5200-4905)/355 = 0.8310 \n" ); document.write( "Note: You have found the z-value associated with 5200. \n" ); document.write( "----------------- \n" ); document.write( "You now need to find the probability that z is greater than 0.8310 \n" ); document.write( "----------------- \n" ); document.write( "P(x > 5200) = P(z > 0.8310) = normalcdf(0.8310,100) = 0.2030 \n" ); document.write( "---------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |