Answer:
Mathematically, two events are considered to be independent if the following relation holds true,
∵ P(B | A) = P(B)
For the given case,
P(D | L) = P(D)
But
0.13 ≠ 0.47
Since the relation doesn't hold true, therefore, "being left-handed" and "being a Democrat are not independent events.
Step-by-step explanation:
We are given that
Left-handed = P(L) = 0.40
Democrats = P(D) = 0.47
If a president is left-handed, there is a 13% chance that the president is a Democrat.
P(D | L) = 0.13
Based on this information on the last fifteen U.S. presidents, is "being left-handed" independent of "being a Democrat?
Mathematically, two events are considered to be independent if the following relation holds true,
∵ P(B | A) = P(B)
For the given case,
P(D | L) = P(D)
But
0.13 ≠ 0.47
Since the relation doesn't hold true, therefore, "being left-handed" and "being a Democrat are not independent events.
