Afirm that manufactures and bottles apple juice has a machine that automatically
fills bottles with 16 litres of juice. (the bottle can hold up to 17 litres of juice). over a long
time, the average amount dispensed into the bottle has been 16 litres. however, there is
variability in how much juice is put in each bottle, the distribution of these amounts has a
standard deviation of 1litre. if the litre of fill per bottle can be assumed to be normally
distributed, find the probability that the machine will overflow any one bottle.

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