242 032 Are more loyal in the East or in the West? The following table is based

Question

242 032 Are more loyal in the East or in the West? The following table is based on years) at a primary supermarket. The rows represent regions of the United States. 59 68 93 67 120 158 78 106 150 451 478 710 31 Midwest South 106 542 280 Total What is the probability that a customer chosen at random has the following characteristics? (Enter your answers as fractions.) (a) has been loyal 10 to 14 years 291/2025 (b) has been loyal 10 to 14 years, given that he or she is from the East 77/2025 (c) has been loyal at least 10 years 8332025 (d) has been loyal at least 10 years, given that he or she is from the West (e) is from the West, given that he or she has been loyal less than 1 year (f) is from the South, given that he or she has been loyal less than 1 year 53/147

Explanation / Answer

The probability that a customer chosen at random

a) Has been loyal 10 to 14 years = 291/2025

b) Has been loyal 10 to 14 years, given that he or she is from the east = 77/291

c) Has been loyal at least 10 years = (291+542)/2025 = 833/2025

d) Has been loyal at least 10 years, given that he or she is from the west = 386/833

e) Is from the west given that he or she has been loyal less than 1 year = 41/157

f) Is from the south given that he or she has been loyal less than 1 year = 53/157

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

---

---

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