In: Statistics and Probability
A banking executive studying the role of trust in creating customer advocates has determined that 41 % of banking customers have complete trust, 45 % of banking customers have moderate trust, and 14 % have minimal or no trust in their primary financial institution. Of the banking customers that have complete trust, 69 % are very likely to recommend their primary financial institution; of the banking customers that have moderate trust, 18 % are very likely to recommend their primary financial institution; and of the banking customers that have minimal or no trust, 3 % are very likely to recommend their primary financial institution. Complete parts (a) and (b) below. a. Compute the probability that if a customer indicates he or she is very likely to recommend his or her primary financial institution, the banking customer also has complete trust.