The Michelin Man is visiting famous restaurants in San Antonio to possibly award

Question

The Michelin Man is visiting famous restaurants in San Antonio to possibly award Michelin Star He (or she - it's actually a food critic, not the mascot that looks vaguely like tires) estimates that Viva Verde has a 35% chance of earning a star, Cucina Paradiso has a 70% chance of earning a star, and Nachos-feratu has a 12% chance of earning a star. a. If the critic dines at all three restaurants in the same day, what is the expected number of Michelin Stars awarded? b. Now let's assume the critic will stop eating after awarding a star or after eating at all three restaurants, and let's assume the critic visits the restaurants in the order listed above. Create a probability model for the number of restaurants he or she will visit. c. Based on your answer for b, find the expected number of restaurants he or she will visit.

Explanation / Answer

A) Expected number of Michelin Stars awarded = 0.35x1 + 0.7x1 + 0.12x1 = 1.17

B) P(visiting only Viva Verde) = 0.35

P(visiting both Viva Verde and Cusina Paradiso) = (1-0.35)x(0.7) = 0.455

P(visiting all 3 restaurants) = (1-0.35)x(1-0.7) = 0.195

C) Expected number of restaurants he or she will visit = 1x0.35 + 2x0.455 + 3x0.195 = 1.845

Number of restaurants 1 2 3 probability 0.35 0.455 0.195

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.