A banking executive studying the role of trust in creating customer advocates has determined that 45% of banking customers have complete​ trust, 48% of banking customers have moderate​ trust, and 7% have minimal or no trust in their primary financial institution. Of the banking customers that have complete​ trust, 66% are very likely to recommend their primary financial​ institution; of the banking customers that have moderate​ trust, 16% are very likely to recommend their primary financial​ institution; and of the banking customers that have minimal or no​ trust, 4% 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.

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A banking executive studying the role of trust in creating customer advocates has determined that
45%
of banking customers have complete​ trust,
48%
of banking customers have moderate​ trust, and
7%
have minimal or no trust in their primary financial institution. Of the banking customers that have complete​ trust,
66%
are very likely to recommend their primary financial​ institution; of the banking customers that have moderate​ trust,
16%
are very likely to recommend their primary financial​ institution; and of the banking customers that have minimal or no​ trust,
4%
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.
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