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A banking executive studying the role of trust in creating customer advocates has determined that 43...

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.

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