\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
A coffee machine dispenses a quantity of coffee that is a normally distributed random variable with mean \(150\) ml and standard deviation \(5\) ml.
If a jug is filled by dispensing 10 cups one after another, what is the probability that the total volume of coffee exceeds \(1\,525\) ml? Assume the cups are independent.
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