SOLUTION: A company specialises in packing washing powder for a National Chain of Supermarkets.The machine used to pack the washing powder is calibrated to make a mean of 510g.However the ma

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Question 261154: A company specialises in packing washing powder for a National Chain of Supermarkets.The machine used to pack the washing powder is calibrated to make a mean of 510g.However the machine is not 100% reliable and there is some variation in the mean.The variability as measured by standard deviation is2.5g.It is known that the weight packed by the machine follows a normal distribution .The supermarket chain has recently been complaining because they think that too many washing powder boxes are either underweight or overweight.
a)What percentage of the bags filled by the machine will weigh less than 507.5g?
b)What is the probability that a bag filled by the machine weighs less than 512g?
c)What percentage of the bags will weigh between 512 and 515g?
Answer by stanbon(75887) About Me  (Show Source):
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Cheers,
Stan H.