In a certain risk group, individuals are tested for a certain
disease S. A person who has the disease gets the correct diagnosis
with probability 0.99, whereas a person who does not suffer from S
gets the correct diagnosis with probability 0.95. Furthermore, it
is known that 6% of the individuals in the group get the diagnosis
“suffer from S”. Determine a) the proportion of individuals in the
group who suffer from S, and b) the probability that a person...