contestada


Which statement is true about whether Z and B are
independent events?

Z and B are independent events because P(Z I B) = P(Z).
Z and B are independent events because P(Z I B)
= P(B).
Z and B are not independent events because P(ZIB)
+ P(Z).
Z and B are not independent events because P(Z IB)
#P(B)

Respuesta :

veronicaculs

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.
Tundexi

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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