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In: Statistics and Probability

A luxury hotel believes that 90% of their customers are very satisfied with its service. A...

A luxury hotel believes that 90% of their customers are very satisfied with its service. A random sample of 120 guests were surveyed to determine how satisifed they are with the service and accommodations at the hotel.

a. Describe the random variable for this probability distribution (i.e., what type of variable, what is the probability distribution, what does the variable represent, what are it's possible values, etc.).

b. What is the probability that at least 110 of the people in the sample report being very satisfied with the hotel's service?

c. What is the probability that less than 100 people in the sample report being very satisfied with the service at the hotel?

d. Employees have been promised a bonus if more than 90% of the sample are very satisfed with the hotel's service. What is the probability that the employees will receive the bonus?

e. How many people in the sample can be expected to report that they are very satisfied with the service at the hotel?

f. if the sample shows only 100 of the customers reporting being very satisfied with the service at the hotel, explain using probability why the hotel might want to re-assess the accuracy of the belief that 90% of customers are very satisfied with service at the hotel.

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orchestra answered 1 year ago
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