Question 936254: the manufacturer of an energy drink, ENERG, has a machine that fills bottles with 0.5 liter of ENERG. The amount of fluid in each bottle differs slightly and forms ab normal distribution whose mean is 0.5 liter and whose standard deviation is 0.02 liter. what percent of the bottles contain less than 0.45 liter of ENERG?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! the manufacturer of an energy drink, ENERG, has a machine that fills bottles with 0.5 liter of ENERG. The amount of fluid in each bottle differs slightly and forms a normal distribution whose mean is 0.5 liter and whose standard deviation is 0.02 liter. what percent of the bottles contain less than 0.45 liter of ENERG?
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z(0.45) = (0.45-0.50)/0.02 = -0.05/0.02 = -2.5
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P(x < 0.45) = P(z < -2.5) = normalcdf(-100,-2.5) = 0.006
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Cheers,
Stan H.
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