Apparently, depression significantly increases the risk of developing dementia later in life (BBC News, July 6, 2010).

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Apparently, depression significantly increases the risk of developing dementia later in life (BBC News, July 6, 2010).
In a recent study it was reported that 22% of those who had depression went on to develop dementia, compared to only 17% of those who did not have depression. Suppose 10% of all people suffer from depression.
a. What is the probability of a person developing dementia?
b. If a person has developed dementia, what is the probability that the person suffered from depression earlier in life?

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