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. or