document.write( "Question 333209: You have a Normal Distribution with mean = 70 and standard deviation = 4. If you make one selection from this population, what is the probability that you get:
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document.write( "a. a measurement of 72?
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document.write( "b. a measurement between 71.5 and 72.5?\r
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document.write( "Thanks for the help! \n" );
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Algebra.Com's Answer #238749 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! You have a Normal Distribution with mean = 70 and standard deviation = 4. If you make one selection from this population, what is the probability that you get: \n" ); document.write( "a. a measurement of 72? \n" ); document.write( "P(x=72) = 0 \n" ); document.write( "Note: In a continuous distribution the probability \n" ); document.write( "of any single value is zero. \n" ); document.write( "----------------------------- \n" ); document.write( "b. a measurement between 71.5 and 72.5? \n" ); document.write( "z(71.5) = (71.5-70)/4 = 1.5/4 = 0.3750 \n" ); document.write( "--- \n" ); document.write( "z(72.5) = (72.5-70)/4 = 2.5/4 = 0.6250 \n" ); document.write( "----- \n" ); document.write( "P(71.5 <= x <=72.5) = P(0.3750<= z <= 0.6250) = 0.0878 \n" ); document.write( "============================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( " \n" ); document.write( " |