QuestionIf , what does this mean? Choose the best interpretation. 10 points. A, B, C, or D?
Studdy Solution
STEP 1
Assumptions1. represents the probability of event A occurring. . The possible interpretations of this statement are given as options A, B, C, and D.
STEP 2
We need to understand what the given probability value means. In probability theory, a probability of1 means an event is certain to occur, and a probability of0 means an event is certain not to occur.
STEP 3
The given probability value is0.95. This is very close to1, indicating that the event is very likely to occur.
STEP 4
Now, we compare this understanding with the given options.Option A suggests that event A will always occur. However, a probability of0.95 is not1, so this option is incorrect.
Option B suggests that event A will occur more often than not, but it is not extremely likely. However, a probability of0.95 is quite high, so this option is also incorrect.
Option C suggests that event A is extremely likely, but in a long sequence of trials, it occasionally will not occur. This is consistent with our understanding of a probability of0.95.
Option D suggests that event A will never occur. This is clearly incorrect, as a probability of0.95 is far from0.
STEP 5
Based on our analysis, the best interpretation of the statement is option C Event A is extremely likely, but in a long sequence of trials, it occasionally will not occur.
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