Question

wb and za are two competing grocery stores in a particular region. the probability that a customer who shops this week at wb will shop again at wb next week is 87% whereas the probability that a za customer will shop next week at za is 73%. what is the probability that a customer who shops at wb in week 0 will shop at wb in week 2? your answer should be with accuracy of 3 decimal points

Answer 1

The probability that a customer who shops at WB in week 0 will shop there in week 2 is calculated by multiplying the probability of returning each week, resulting in a probability of 0.757 when rounded to three decimal points.

Step-by-step explanation:

The probability that a customer who shops at WB in week 0 will shop again at WB in week 2 can be calculated by considering the probability of the customer returning to WB for two consecutive weeks. This concept involves understanding of independent events in probability.

To find this probability, we multiply the probability that the customer shops at WB in the first week by the probability they return in the second week:

Probability of shopping at WB in Week 2 = (Probability of returning to WB in Week 1) × (Probability of returning to WB in Week 2)

= 0.87 × 0.87

= 0.7569

Therefore, the probability is 0.757 (rounded to three decimal places).