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Uber fares in a metropolitan city are known to follow a normal distribution with an average fare of $25.00 and a standard deviation of $3.00.

Uber fares in a metropolitan city are known to follow a normal distribution with an average fare of $25.00 and a standard deviation of $3.00.

(a) What is the probability that a randomly selected uber fare exceeds $30.00?

(b) If an uber driver on a morning shift had 20 customers, what is the probability that the average fare per trip during the shift was less than $24.50?

(c) If an uber driver had 25 customers during a shift, what is the probability that the total fare during the shift exceeds $650?

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