In: Statistics and Probability
A banking executive studying the role of trust in creating customer advocates has determined that 43 % of banking customers have complete trust, 49 % of banking customers have moderate trust, and 8% have minimal or no trust in their primary financial institution. Of the banking customers that have complete trust, 68% are very likely to recommend their primary financial institution; of the banking customers that have moderate trust, 21 % are very likely to recommend their primary financial institution; and of the banking customers that have minimal or no trust, 2 % are very likely to recommend their primary financial institution. Complete parts (a) and (b) below. (Round to three decimal places as needed.) 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. b. Compute the probability that a banking customer is very likely to recommend his or her primary financial institution.