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 w ent on to develop dementia, compared to only 17% o f those w ho 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? P-258