Please show ALL work! Questions 15 through 18 refer to the following information

Question

Please show ALL work!

Questions 15 through 18 refer to the following information. A tasting panel of 200 men, who vary frozen dinner. The in marital status following dinner product. , participated n an experiment to taste a potential new contingency table summarizes their opinions concerning the quality of the frozen Opinion on Food Quality Never married Divorced Married Widowed Poor Fair Good Excellent 5 10 25 10 0 5 15 10 10 25 35 30 5 10 Total 50 30 100 20 Status Total 20 50 200 This table can be converted into a table of probabilities as follows: Never married Divorced Married Widowed Opinion on Food Quality Poor Fair Good Excellent 025 .05 125 .05 0 05 .125 175 .15 025 05 025 0 Total .25 .15 .50 .10 Marital Status 025 .075 .05 Total 10 .25 40 25 1.00 Use either of these tables to answer the following questions. 15. What is the probability that the food quality rating was Good? a) .125 b) .25 40o (0.40) 200 d) 25 e) 80 16. What is the probability that the taster was Married and provided an excellent food rating? a).15 .25 c).50 d).60 e) .75 17. What is the probability that the taster was Divorced or provided an excellent food rating? a) .05 25 c)).35 40 18. What is the conditional probability that the food rating was excellent assuming that the taster was Married? 15 c).45 d) .60

Explanation / Answer

15) P( Food rating was good) = 80/200 =0.40

16) P( Married and Excelllent food rating) = 30/200 = 0.15

17) P( Divorced or Excellent food rating) = (0+5+15+10+10+30+0)/200 = 70/200 = 0.35

18) P( Excellent/Married) = 30/100 = 0.30

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