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 $255or 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 $210and $290per night? (Round your answer to four decimal places.) (d)What is the cost in dollars of the20%