A survey finds that 12% of cardiac pacemakers implanted in Australian patients
are manufactured by “Happy Hearts Ltd”. It is known that the Happy Hearts Ltd
pacemaker products have a 95% success rate for lasting 5 years from implantation
without need for replacement. By comparison, across all other brands of pacemakers
used in Australia the 5-year success rate is 82%. For a randomly chosen patient
who received a cardiac pacemaker 5 years ago and has not required a replacement,
what is the probability that they received a Happy Hearts Ltd pacemaker?
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