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

a. What is the probability that a hotel room costs $225 or more per night?
b. What is the probability that a hotel room costs less than $140 per night?
c. What is the probability that a hotel room costs between $200 and $300 per night?
d. What is the cost of the most expensive 20% of hotel rooms in New York City?