You know the following about the events A, B, and C: P(A) = 0.2, P(B) = 0.8, P(C) = 0.6, A and B are disjoint, A and C a

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You know the following about the events A, B,
and C: P(A) = 0.2, P(B) = 0.8, P(C) =
0.6, A and B are disjoint, A
and C are disjoint.
(a) (2 points) What is P (A or B)?
(b) (2 points)
Are A and B complements? Why or why not?
(c) (2 points)
Are A and C complements? Why or why not?
(d) (2 points) What is P(A and C)?
(e) (2 points)
Are A and C independent? Why or why not?
(f) (2points) WhatisP(C|B)?
(g) (2 points) What
is P(A or B or C)?
(h) (2 points) If P (D|A) =
0.5 and P (D|B) = 0.25, what is P (D)?
Hint: it might be useful to draw a diagram for this one.