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1. A machine discharges soda water once for each cup of soda water purchased. The amount...

1. A machine discharges soda water once for each cup of soda water purchased. The amount of soda water in each discharge is independently normally distributed with mean 300ml and standard deviation 5ml.

a) Today, 25 cups of soda water is discharged by the machine, what is the probability that 2 or more contain more than 308ml of soda water.

b) In a particular month, 500 cups of soda water is discharged by the machine, use normal approximation to binomial to find the probability that 30 or more contain more than 308 ml of soda water. Y ~ B(500,P(X>308) P(Y>=30)

math   Statistics-And-Probability   
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