Tutorial 2 Solutions - Question 1 A company that offers...

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Question 1 A company that offers courses to prepare would be MBA students for the GMAT examination finds that 40% of its customers are currently undergraduate students and 60% are college graduates. After completing the course, 50% of the undergraduates and 70% of the graduates achieve scores of at least 600 on the GMAT. Use a tree diagram to organize this information. a. What percent of customers are undergraduates and score at least 600? Ans. P(A ∩ B) = P(A)P(B) = (0.4)(0.5) = 0.20 b. What percent of customers are graduates and score at least 600? Ans. P(A ∩ B) = P(A)P(B) = (0.6)(0.7) = 0.42 c. What percent of all customers score at least 600 on the GMAT Ans. P(A ∩ B) = P(A) + P(B) = (0.20) + (0.42) = 0.62 Question 2 John desires to open a new restaurant. He is undecided as to which type of food he should serve in his new restaurant. As a result, he has surveyed 300 people who live nearby the restaurant. Here are the results. Pizza Rice Souvlaki Total Chinese 25 40 20 85 Greek 10 40 65 115 Italian 55 15 30 100 Total 90 95 115 300 a. What is the probability a customer is Greek and eats souvlaki? Ans. P(Greek ∩ Souvlaki) = 65/300 = 0.21667 b. What is the probability a customer is Italian or eats rice?
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