document.write( "Question 449666: A machine is set to pump cleanser into a process at the rate of 10 gallons per minute. Upon inspection, it is
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document.write( "learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the
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document.write( "interval 9.5 to 12.5 gallons per minute. Find the probability that between 10.0 gallons and 11.0 gallons are
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document.write( "pumped during a randomly selected minute.\r
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document.write( "The answer is 0.33, how do I arrive at that answer? \n" );
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Algebra.Com's Answer #309317 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A machine is set to pump cleanser into a process at the rate of 10 gallons per minute. Upon inspection, it is \n" ); document.write( "learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 9.5 to 12.5 gallons per minute. \n" ); document.write( "------ \n" ); document.write( "Mean = 10--- \n" ); document.write( "6*sigma = 12.5-9.5 = 3 \n" ); document.write( "--- \n" ); document.write( "sigma = 1/2 \n" ); document.write( "-----\r \n" ); document.write( "\n" ); document.write( "Find the probability that between 10.0 gallons and 11.0 gallons are \n" ); document.write( "pumped during a randomly selected minute. \n" ); document.write( "--- \n" ); document.write( "z(11) = (11-10)/3 = 1/3 \n" ); document.write( "z(10) = (10-10)/3 = 0 \n" ); document.write( "--- \n" ); document.write( "P(10< x < 11) = P(0< z < 1/3) = 0.1306 \n" ); document.write( "===== \n" ); document.write( "I don't agree with the answer you were given. \n" ); document.write( "========================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============= \n" ); document.write( "The answer is 0.33, how do I arrive at that answer? \n" ); document.write( " \n" ); document.write( " |