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 . a. What is the probability that a hotel room costs or more per night (to 4 decimals)? b. What is the probability that a hotel room costs less than per night (to 4 decimals)? c. What is the probability that a hotel room costs between and per night (to 4 decimals)? d. What is the cost of the most expensive hotel rooms in New York City? Round up to the next dollar.