A hotel asked its customers to rate their stays as Excellent, Good, Fair, or Poor. The following table shows the probability of each rating and the gender of the customer.

Men Women

Excellent 0.117 0.111

Good 0.234 0.108

Fair 0.144 0.151

Poor 0.054 0.081

Round your answer to 3 decimal places wherever necessary

a.What level of data are theratings? Justify your answer. Ordinal/ Ratio/ Nominal/ Interval?

b.What is the probability a randomly selected customer rated their stay as Good?

c.What is the probability a randomly selected customer rated their stay as either good or fair?

d.What is the probability a randomly selected customer was a woman given that they rated their stay as poor?

e.What is the probability a randomly selected customer was a man and rated their stay as fair?