Discuss the Continuity of the Function

question 36

Multiple Choice

Discuss the continuity of the function.

• A) is continuous everywhere except at those points such that
• B) is continuous everywhere except at those points such that
• C) is continuous at those points
• D) is continuous only when
• E) is continuous everywhere in the xy-plane.

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Definitions:

Marginal Probability

The probability of an event occurring, disregarding all other variables or outcomes in a probability distribution.

E(XY)

The expected value of the product of two random variables X and Y, indicating their joint mean over all pairs of outcomes.

Marginal Probability

The probability of an event occurring, regardless of the outcomes of other variables; it is calculated by summing the probabilities of the event across all values of the other variables.

E(X + Y)

The expected value of the sum of two random variables, equal to the sum of their individual expected values.