New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $\$ 203$ per night (USA Today, April 30, 2012$) $ Assume that room rates are normally distributed with a standard deviation of $\$ 55 .$ Use Table 1 in Appendix B. a. What is the probability that a hotel room costs $\$ 224$ or more per night (to 4 decimals)? b. What is the probability that a hotel room costs less than $1$ 142$ per night (to 4 decimals)? c. What is the probability that a hotel room costs between $\$ 199$ and $\$ 301$ per night (to 4 decimals)? d. What is the cost of the $20 %$ most expensive hotel rooms in New York City? Round up to the next dollar. SP.VS.798