A and B are two events.
2 answers:
In order to determine if the events are independent or not we need to find the conditional probabilities.
The conditional probability of event A, given event B is denoted as P(A|B)
P(A*B) indicates P(A and B)
Using the values, we get:
Since P(A|B) is not equal to P(A) this indicates that occurrence of event B has an impact on the occurrence of event A. This shows that the two events are dependent.
Therefore, the correct option is the second one.
2. A and B are not independent events because P(A∣∣B)≠P(A)
The conditional probability of event A, given event B is denoted as P(A|B)
P(A*B) indicates P(A and B)
Using the values, we get:
Since P(A|B) is not equal to P(A) this indicates that occurrence of event B has an impact on the occurrence of event A. This shows that the two events are dependent.
Therefore, the correct option is the second one.
2. A and B are not independent events because P(A∣∣B)≠P(A)
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Answer:
0.2397
Step-by-step explanation:
Given data:
fX(x) = Cxe^(−x/2) if x >0 0 otherwise, where C > 0 is some constant.
The probability that the system functions for at least 5 months
= 0.2397
attached below is a detailed solution
