document.write( "Question 245939: The amount of soda a dispensing machine pours into a 12 ounce can of soda follows a normal distribution with a mean of 12.24 ounces and a standard deviation of 0.16 ounce. The cans only hold 12.40 ounces of soda. Every can that has more than 12.40 ounces of soda poured into it causes a spill and the can needs to go through a special cleaning process before it can be sold. What is the probability a randomly selected can will need to go through this process? \n" ); document.write( "

Algebra.Com's Answer #179660 by stanbon(75887) $\"\"$ $\"About$

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The amount of soda a dispensing machine pours into a 12 ounce can of soda follows a normal distribution with a mean of 12.24 ounces and a standard deviation of 0.16 ounce. The cans only hold 12.40 ounces of soda. Every can that has more than 12.40 ounces of soda poured into it causes a spill and the can needs to go through a special cleaning process before it can be sold. What is the probability a randomly selected can will need to go through this process?
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\n" ); document.write( "Find the z-value for 12.40
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\n" ); document.write( "z(12.40) = (12.40-12.24)/0.16 = 1
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\n" ); document.write( "P(x > 12.4) = P(z > 1) = 0.1587..
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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