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Below is a table showing the percentage of elderly people, subdivided by age and

ID: 3048682 • Letter: B

Question

Below is a table showing the percentage of elderly people, subdivided by age and gender, who develop Alzheimer's disease (A.D.) in the United States. An example of how to read the table is "1.6% of 65-69 year old Males have Alzheimer's disease. (adapted from Fundamentals of Biostatistics, Rosner 2011): Age Group 65-69 70-74 75-79 80-84 Males with AD 1.6% 0.0% 4.9% 8.6% Females with AD 0.0% 2.2% 2.3% 7.8% Three elderly subjects are randomly selected and screened for Alzheimer's disease Subject 1 Male, age 77 Subject 2 Female, age 76 Subject 3 -Female, age 82

Explanation / Answer

P(1st) = probability of male of age 75-79 having AD
P(1st) = 0.049

P(not 1st) = 1 - 0.049 = 0.951

Above values are looked up from the given table for the given gender and age group.

P(2nd) = 0.023 (probability of female of age 75-79 having AD)

P(not 2nd) = 1 - 0.023 = 0.977

P(3rd) = 0.078 (probability of female of age 80-84 having AD)

P(not 3rd) = 1 - 0.078 = 0.922

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