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You may need to use the appropriate appendix table to answer this question. New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $204 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 $235 or more per night? (Round your answer to four decimal places.) (b) What is the probability that a hotel room costs less than $120 per night? (Round your answer to four decimal places.) (c) What is the probability that a hotel room costs between $200 and $300 per night? (Round your answer to four decimal places.) (d) What is the cost in dollars of the 10% most expensive hotel rooms in New York City? (Round your answer to the nearest cent.) $