Given that z is a standard normal random variable, find z for each situation (to 2 decimals). a. The area to the left of z is 0.2119. (Enter negative value as negative number.) -0.80 g b. The area between z and z is 0.903. 1.66 c. The area between - z and zis 0.2052 d. The area to the left of z is 0.995 2.58 g e. The area to the right of z is 0.695. (Enter negative value as negative number) New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $204 per night (USA Today, April 30, 2012). Assume that room rates are normally distributed with a standard deviation of $55. a. What is the probability that a hotel room costs $225 or more per night (to decimals)? .3520 g b. What is the probability that a hotel room costs less than $140 per night (to 4 decimals)? 1230 c. What is the probability that a hotel room costs between $200 and $300 per night (to 4 decimals)? 4878 Ox ON CA d. What is the cost of the 20% most expensive hotel rooms in New York Round up to the next dollar 250.2 or more