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 $56. Use Table 1 in Appendix B.

a.What is the probability that a hotel room costs $224 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 $299 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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