The contingency table below shows some hypothetical probabilities for the propor
ID: 3055660 • Letter: T
Question
The contingency table below shows some hypothetical probabilities for the proportions of renters and owners who evacuate or don’t evacuate when a hurricane evacuation order is issued.
Evacuate
YES
NO
Renter
0.24
0.16
0.40
Owner
0.12
0.48
0.60
0.36
0.64
1.00
What is the probability that you will evacuate if you are a renter? _______
What is the probability that you won’t evacuate if you are an owner? _______
Evacuate
YES
NO
Renter
0.24
0.16
0.40
Owner
0.12
0.48
0.60
0.36
0.64
1.00
Explanation / Answer
(a)
Let A = Evacuate
B = Renter
Then:
A/B = you will vacate if you are a renter
AB = Renter & Evacuate
By Multiplication Theorem:
P(A/B) = P(AB) /P(B)
= 0.24/0.40 = 0.60
(b)
Let
A = Won't vacale
B = Owner
A/B = You won't vacate if you are an owner
AB = Won't vacate & Owner
By Multiplication Theorem:
P(A/B) = P(AB)/P(B)
= 0.48/0.60 = 0.80
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