The marketing manager of a grocery store observed customers going to the baby’s section. She found that 62% of all customers buy baby formula, 52% of all the customers buy diapers and 38% of all customers buy both baby formula and diapers. Use B to denote the event that a randomly selected customer buys baby formula and D to denote the event that a randomly selected customer buys diaper. Thus the information given above can be written as P(B)=0.62, P(D)=0.52 and P(B∩D)=0.38.
1. What is the probability that a randomly selected customer buys either baby formula or diaper? (A) 0.38 (B) 0.52 (C) 0.62 (D) 0.76 (E) none of the above
2. Which probability rule should be used to find the answer to the previous question?
(A) addition (B) multiplication(C) complement (D) mn rule (E) none of the above
3. What is the probability that a randomly selected customer buys either baby formula or diaper but not both? (A) 0.38 (B) 0.52 (C) 0.62 (D) 0.76 (E) none of the above
4. What is the probability that a randomly selected customer buys neither baby formula nor diaper?
(A) 0.76 (B) 0.24 (C) 0.38 (D) 0.72 (E) none of the above
5. Which probability rule should be used to find the answer to the previous question?
(A) addition (B) multiplication(C) complement (D) mn rule (E) none of the above
6. If it is known that a randomly selected customer will buy diaper, what is the probability that this customer will not buy baby formula?
(A) 0.2692 (B) 0.3871 (C) 0.6129 (D) 0.7308 (E) cannot be determined