Answer:
30% probability a randomly selected household has no Internet access given the household owns corporate stock
Step-by-step explanation:
I am going to say that we have two events.
Event A: Owning corporate stock. So P(A) = 0.54.
Event B: Having no internet access. So P(B) = 0.3.
Since they are independent events, we can apply the conditional probability formula, which is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probabilitty of event B happening given that A happened. We want to find this.
[tex]P(A \cap B)[/tex] is the probability of both events happening.
Since they are independent
[tex]P(A \cap B) = P(A)P(B) = 0.54*0.3[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.54*0.3}{0.54} = 0.3[/tex]
30% probability a randomly selected household has no Internet access given the household owns corporate stock