Respuesta :
Answer:
Z and B are independent events because P(Z I B) = P(Z)
Step-by-step explanation:
- If Z and B are independent, Z does not affect B and B does not affect Z.
- This means that, to know something about B does not help predicting Z, and to know something about B does not help predicting Z.
- Then, the probability P (Z/B) = P(Z) because B does not add any information about Z, therefore, the probability of Z only depends on itself.
The unit Z and B are independent event because P(Z I B) = P(Z)
What happens if they are independent?
If both Z & B are independent, then, the Z does not affect B and B does not affect Z.
That is, in order to know something about B, its does not help predicting Z and to know something about B, its does not help predicting Z.
Hence, the means the probability P (Z/B) = P(Z) because B does not add any information about Z, therefore, the probability of Z only depends on itself.
Therefore, the Option A is correct.
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