A table classifying a sample of 104 patrons of a restaurant according to type of meal...

Transcribed Image Text:

A table classifying a sample of 104 patrons of a restaurant according to type of meal and their rating of the service is shown to the right. Suppose we select, at random, one of the 104 patrons. Complete parts a through c below. Meals Lunch Dinner Totals a. Given that the meal was lunch, what is the probability that the service was poor? Given that the meal was lunch, the probability that the service was poor is (Type an integer or decimal rounded to three decimal places as needed.) b. If the respondent gives a good rating, what is the probability that the respondent had lunch? If the respondent gives a good rating, the probability that the respondent had lunch is (Type an integer or decimal rounded to three decimal places as needed.) c. Are the events (poor service) and (lunch) independent? A. No, because P(poor|lunch) = P(poor). B. No, because P(poor lunch)*P(poor). OC. Yes, because P(poor lunch)*P(poor). D. Yes, because P(poor lunch)=P(poor). Service good 38 17 55 Service poor 12 37 49 Totals 50 54 104 A table classifying a sample of 104 patrons of a restaurant according to type of meal and their rating of the service is shown to the right. Suppose we select, at random, one of the 104 patrons. Complete parts a through c below. Meals Lunch Dinner Totals a. Given that the meal was lunch, what is the probability that the service was poor? Given that the meal was lunch, the probability that the service was poor is (Type an integer or decimal rounded to three decimal places as needed.) b. If the respondent gives a good rating, what is the probability that the respondent had lunch? If the respondent gives a good rating, the probability that the respondent had lunch is (Type an integer or decimal rounded to three decimal places as needed.) c. Are the events (poor service) and (lunch) independent? A. No, because P(poor|lunch) = P(poor). B. No, because P(poor lunch)*P(poor). OC. Yes, because P(poor lunch)*P(poor). D. Yes, because P(poor lunch)=P(poor). Service good 38 17 55 Service poor 12 37 49 Totals 50 54 104