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
\n" ); document.write( "learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the
\n" ); document.write( "interval 9.5 to 12.5 gallons per minute. Find the probability that between 10.0 gallons and 11.0 gallons are
\n" ); document.write( "pumped during a randomly selected minute.\r
\n" ); document.write( "\n" ); document.write( "The answer is 0.33, how do I arrive at that answer?
\n" ); document.write( "

Algebra.Com's Answer #309317 by stanbon(75887)\"\" \"About 
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
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\n" ); document.write( "I don't agree with the answer you were given.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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\n" ); document.write( "The answer is 0.33, how do I arrive at that answer?
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