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The accounting department of an international corporation is auditing travel expenses. It determines that the average amount spent per night on motel rooms is $206 with a standard deviation of $47. If it selects a random sample of 49 employee accounts.

a. What is the probability that the mean motel bill exceeds $222 per night?

b.What is the probability that the mean motel bill will be more than $190.50, but less than $225.50?

c. What is the probability that the mean hotel will be less than $200 or greater than $235?