A hotel asked its customers to rate their stays as Excellent, Good, Fair, or Poo

Question

A hotel asked its customers to rate their stays as Excellent, Good, Fair, or Poor. The accompanying table shows the frequency of each rating as well as the gender of the customer. Complete parts a) through b) below Click here to view the table. a) Determine the probability that a randomly selected customer rated his or her stay as Excellent. (Round to three decimal places as needed.) b) Determine the probability that a randomly selected customer rated his or her stay as either Good or Fair (Round to three decimal places at needed) c) Determine the probability that a randomly selected customer rated his or her stay as either than Poor. (Round to three decimal places as needed.) d) Determine the probability that a randomly selected customer was a man who rated his stay as Good (Round to three decimals places at needed.) e) Determine the probability that a randomly selected customer was either a woman or rated his or her stay as Fair.

Explanation / Answer

Rating          Men     Women    Total

Excellent        4             8           12

Good              21          12           33

Fair                  17         7            24

Poor               6            3              9

Total              48           30           78

(a) P(Excellent) = 12/78 = 0.1538

(b) P(good OR fair) = P(good) + P(fair) = 33/78 + 24/78 = 0.4231 + 0.3077 = 0.7308

(c) P(other than poor) = 1 - 9/78 = 1 - 0.1154 = 0.8846

(d) P(man & good) = 21/78 = 0.2692

(e) P(woman OR fair) = P(woman) + P(fair) - P(woman & fair) = 30/78 + 24/78 - 7/78

                              = 0.3846 + 0.0.3077 - 0.0.0897

                             = 0.6026

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