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A probability provides a quantitative description of the likely occurrence of a particular event.

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The assumptions in the derivation of normal distribution using a dart board example?

For example, imagine a discrete example where the dart landing at (2,1) or (1,2) both have a probability of 0.4 and the dart landing at (2,2) has a probability of 0.2. … This satisfy the assumption (2) that the probability depends only on the distance but not (1). What kind of pdfs can satisfy both (1) and (2)? …
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