Given that the household is located in the northeast, there is a 0.230 probability that the randomly chosen US household makes more than $75,000.
Given info;
19.1% of US households, according to the US Census Bureau, are in the Northeast. Additionally, 4.4% of households in the US earn $75,000 or more annually and are situated in the northeast.
let, A represents the U.S. households in the Northeast.
B represents the U.S. households earning $75,000 or more.
To determine the probability that a randomly selected US household earns more than $75,000/year, given that the household is located in the northeast.
P(A) = 19.1% = 0.191
P(A ∩ B) = 4.4% = 0.044
P(B I A) = P(A ∩ B) / P(A)
= 0.044 / 0.191
= 0.230
Hence, the probability that a randomly selected US household earns more than $75,000/year, given that the household is located in the northeast is 0.230.
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