Question
Determine whether the following operations define a binary operation on the given set or not:$'\odot'$ on N defined by $\text{a}\odot\text{b}=\text{a}^{\text{b}}+\text{b}^{\text{a}}$ for all $\text{a, b}\in\text{N.}$
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X:
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3
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2
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1
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0
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-1
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P(X):
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0.3
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0.2
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0.4
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0.1
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0.05
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