Question

Suppose we know two of the three people have Alzheimer's disease. What is the conditional probability that they are both younger than 80 years of age?

Answer 1

Answer: 0.1064

Step-by-step explanation:

D= Both Alzheimer's are less than 80years old.

E= Two of 3 people who have Alzheimer's.

P(D | E ) = P ( D ∩ E)

P ( E )

= P ( A ∩ B ∩ C )

P ( A ∩ B ∩ C ) + P ( A ∩ B ∩ C ) + P ( A ∩ B ∩ C )

= Pa * Pb * (1 - Pc ) Pa * Pb * (1 - Pc ) + (1 - Pa ) * Pb * Pc + Pa * (1 - Pb ) * Pc

= 0.0017

=0.0010+0.0017+0.0037

=0.1064