Website experiment, part 2.

The company in Exercise 43 performed another experiment in which they tested three website designs to see which one would lead to the highest probability of purchase. The first (design A) used enhanced product information, the second (design B) used extensive iconography, and the third (design C) allowed the customer to submit their own product ratings. After 6 weeks of testing, the designs delivered probabilities of purchase of 4.5%, 5.2%, and 3.8%, respectively. Equal numbers of customers were sent randomly to each website design.

a) Construct a probability tree for this experiment.

b) What percent of customers who visited the site made a purchase?

c) What is the probability that a randomly selected customer was sent to design C?

d) Given that a customer made a purchase, what is the probability that the customer had been sent to design C?