A minibar in a hotel room generally provides an impression that the hotel experience is more upscale.

Question:

A minibar in a hotel room generally provides an impression that the hotel experience is more upscale. PKF Hospitality research reported that mini bars provide a mean annual revenue of $368 per hotel room (USA Today, February 9, 2012). Consider an upscale hotel in San Antonio, Texas, that has a total of 330 rooms, all with minibars. Assume that the monthly revenues from the minibar service are normally distributed, with a standard deviation of $2200 to answer the following questions.
a. Using the mean annual minibar revenue of $368 per hotel room, what is the mean monthly revenue for the minibar service at this hotel (to 4 decimals)?
b. What is the probability that the minibar service provides over $12,000 in monthly revenues for this hotel (to 4 decimals)?
c. What is the probability that the minibar service provides less than $7500 in monthly revenues for this hotel (to 4 decimals)?
d. The hotel is considering upgrading its minibar selections to make the minibar service more interesting for its midnight-snacking guests. New minibar offerings are expected to raise the mean annual revenue to $420 per room. Assume a normal with a standard deviation in monthly minibar revenues of $2500 to answer parts (b) and (c) for the minibar service with the upgraded minibar selections. What is the increase in annual revenues for the upgraded minibar service?
Distribution
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