A luxury hotel believes that 90% of their customers are verysatisfied with its service. A random sample of 120 guests weresurveyed to determine how satisifed they are with the service andaccommodations at the hotel.
a. Describe the random variable for this probabilitydistribution (i.e., what type of variable, what is the probabilitydistribution, what does the variable represent, what are it'spossible values, etc.).
b. What is the probability that at least 110 of the people inthe sample report being very satisfied with the hotel'sservice?
c. What is the probability that less than 100 people in thesample report being very satisfied with the service at thehotel?
d. Employees have been promised a bonus if more than 90% of thesample are very satisfed with the hotel's service. What is theprobability that the employees will receive the bonus?
e. How many people in the sample can be expected to report thatthey are very satisfied with the service at the hotel?
f. if the sample shows only 100 of the customers reporting beingvery satisfied with the service at the hotel, explain usingprobability why the hotel might want to re-assess the accuracy ofthe belief that 90% of customers are very satisfied with service atthe hotel.
