You may need to use the appropriateappendix tableto answer this question.New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $204 per night.Assume that room rates are normally distributed with a standard deviation of $55.

(a)What is the probability that a hotel room costs $235or more per night? (Round your answer to four decimal places.)

(b)What is the probability that a hotel room costs less than $130per night? (Round your answer to four decimal places.)

(c)What is the probability that a hotel room costs between $200and $300per night? (Round your answer to four decimal places.)

(d)What is the cost in dollars of the20% most expensive hotel rooms in New York City? (Round your answer to the nearest cent.)$