Apparently, depression significantly increases the risk of developing dementia later in life. 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? (Do not round intermediate calculations. Round your answer to 3 decimal places.) Probability b. If a person has developed dementia, what is the probability that the person suffered from depression earlier in life? (Do not round intermediate calculations. Round your answer to 3 decimal places.) Probability

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A: From the given information we find the probability.

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A: Solution: From the given information, p=0.11 and n=311.

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A:

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A: Where,

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