A continuous random variable has a probability density function of f(x) = 2x² for 0 < x≤ 2 and is equal to 0 for other values. Another continuous random variable has a probability density function of f (y) = 1/(2√y) for 0 ≤ y ≤ 1 and is equal to 0 for other values. Calculate var(X) and var(Y).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
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A continuous random variable has a probability density function of f(x) = 2x² for
0 < x≤ 2 and is equal to 0 for other values.
Another continuous random variable has a probability density function of f(y) = 1/(2√y)
for 0 ≤ y ≤ 1 and is equal to 0 for other values.
Calculate var(X) and var(Y).
Transcribed Image Text:A continuous random variable has a probability density function of f(x) = 2x² for 0 < x≤ 2 and is equal to 0 for other values. Another continuous random variable has a probability density function of f(y) = 1/(2√y) for 0 ≤ y ≤ 1 and is equal to 0 for other values. Calculate var(X) and var(Y).
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