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A coffee vending machine dispenses a certain amount of coffee per press(purchase). If 35 cups of coffee are sampled and the amount of coffee dispensed

A coffee vending machine dispenses a certain amount of coffee per press(purchase). If 35 cups of coffee are sampled and the amount of coffee dispensed follows a normal distribution with an average of 590 ML and a standard deviation of 19.5ML

a) What's the probability that in a second sample the mean will be less than 585 ML?

b) What is the probability that the mean of the 35 coffees is between585ML and 600 ML?

show all work pls

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