A store has used historical data to find that their customers 37% of the time pu

Question

A store has used historical data to find that their customers 37% of the time purchase Coca-Cola, 12% choose Pepsi, 23% choose Dr. Pepper and 28% choose Sprite. Using this information, answer the following questions: (4 decimal places) 6. What is the probability the next consumer will purchase a Sprite? 7. What is the probability the next two customers will purchase Coca-Colas? 8. What is the probability the next two customers, one will purchase a Pepsi and one will purchase a Dr. Pepper? 9. What is the probability the next customer will not buy a Dr. Pepper? 10. What is the probability that the next three customers will purchase Dr. Peppers?

Explanation / Answer

NOte that each purchase is independent of the other . Hence P(AB) = P(A)P(B)

6) Prob  the next consumer will purchase a Sprite = 0.28

7) Prob next two will purchase cocacolas = 0.37(0.37) = 0.1369

8) Prob the next two customers, one will purchase a Pepsi and one will purchase a Dr. Pepper

= 0.12(0.23) = 0.0276

9) probability that the next three customers will purchase Dr. Peppers = 0.23^3

= 0.012167

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

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