In: Statistics and Probability
A banking executive studying the role of trust in creating customer advocates has determined that 41 %41% of banking customers have complete trust, 47 %47% of banking customers have moderate trust, and 12 %12% have minimal or no trust in their primary financial institution. Of the banking customers that have complete trust, 66 %66% are very likely to recommend their primary financial institution; of the banking customers that have moderate trust, 16 %16% are very likely to recommend their primary financial institution; and of the banking customers that have minimal or no trust, 1 %1% 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.
B) Compute the probability that a banking customer is very likely to recommend his or her primary financial institution.