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jorgeyaritzy2001
25.02.2020 •
Mathematics
QUESTION 2 (0.5 POINTS) Let A and B be two events with P(AB) = 0.2, P(B) = 0.5, and P(A)=0.4, are A and B independent? Select the correct statement.
(a). Yes, A and B are independent because we could show that P(A)=P(A|B)
(b). No, A and B are not independent because we couldn’t show that P(A)=P(A|B)
(c). Yes, A and B are independent because we could show that P(AB)=P(A|B)
(d). We cannot tell if A and B are independent based on the information given
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Ответ:
The correct option is (a) P (A|B) = P (A).
Step-by-step explanation:
It is provided that:
P (A) = 0.40
P (B) = 0.50
P (A ∩ B) = 0.20
If events A and B are independent then:
Compute the value of P (A|B) as follows:
The value of P (A|B) = P (A).
Thus, the events A and B are independent.
The correct option is (a).
Ответ:
Hey just trying to help but do you need help
Step-by-step explanation: