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New York City is the most expensive city in the United States for lodging. The mean...

New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $205 per night. Assume that room rates are normally distributed with a standard deviation of $55.

a. What is the probability that a hotel room costs less than $141 per night? (to 4 decimals)

b. What is the probability that a hotel room costs $224 or more per night? (to 4 decimals)

c. What is the probability that a hotel room costs between $201 and $299 per night? (to 4 decimals)

d. What is the cost of the 20% most expensive hotel rooms?

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