exercise:982440e5e7: Difference between revisions
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<li>Cov(X, Y) < 0; the random variables X and Y are dependent</li> | <li>Cov(X, Y) < 0; the random variables X and Y are dependent</li> | ||
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{{soacopyright | 2023}} | {{soacopyright | 2023}} | ||
Latest revision as of 21:50, 6 July 2024
Let [math]X[/math] be a random variable that takes on the values –1, 0, and 1 with equal probabilities. Let [math]Y = X^2 [/math] . Which of the following is true?
- Cov(X, Y) > 0; the random variables X and Y are dependent
- Cov(X, Y) > 0; the random variables X and Y are independent
- Cov(X, Y) = 0; the random variables X and Y are dependent
- Cov(X, Y) = 0; the random variables X and Y are independent
- Cov(X, Y) < 0; the random variables X and Y are dependent
Copyright 2023. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.