A certain restaurant chain regularly conducts surveys of its

A certain restaurant chain regularly conducts surveys of its customers. Respondents are asked to assess food quality, service, and price. The responses are: Excellent, Good, Fair. Surveyed customers are also asked whether they would come back. After analyzing the responses, an expert in probability determined that 87% of customers say that they will return. Of those who so indicated, 57% rate the restaurant as excellent, 36% rate it as good , and the remainder rate it as fair. Of those who say that they won’t return, the probabilities are 14%, 32%, and 54%, respectively. What proportion of customers rate the restaurant as good?

Solution

the required answer is (87*36/100)+(13*32/100) = 35.48 eqivalent to 36