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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 $204 per night (USA Today, April 30, 2012). Assume that room rates are normally distributed with a standard deviation of $53. Use Table 1 in Appendix B.

a. What is the probability that a hotel room costs $226 or more per night (to 4 decimals)?

b. What is the probability that a hotel room costs less than $142 per night (to 4 decimals)?

c. What is the probability that a hotel room costs between $201 and $300 per night (to 4 decimals)?

d. What is the cost of the 20% most expensive hotel rooms in New York City? Round up to the next dollar.
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