Question 13. Let X1 ~ N(1,1) and X2 ~ N(2,4) be two normally distributed and statisti- cally independent random variables. Mark the INCORRECT item: (a) P(X₁ > 1) = P(X2 < 2) (b) Cov(X1, X2) = 0. . (c) E(X1 X2) = E(X1) · E(X2) (d) P(X1 > 0) = P(X2 > 0) (e) E ([×¹¹]²) = E ([×2-²]²)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 13. Let X1 ~ N(1,1) and X2 ~ N(2,4) be two normally distributed and statisti-
cally independent random variables. Mark the INCORRECT item:
(a) P(X₁ > 1) = P(X2 < 2)
(b) Cov(X1, X2) = 0.
.
(c) E(X1 X2) = E(X1) · E(X2)
(d) P(X1 > 0) = P(X2 > 0)
(e) E ([×¹¹]²) = E ([×2-²]²)
Transcribed Image Text:Question 13. Let X1 ~ N(1,1) and X2 ~ N(2,4) be two normally distributed and statisti- cally independent random variables. Mark the INCORRECT item: (a) P(X₁ > 1) = P(X2 < 2) (b) Cov(X1, X2) = 0. . (c) E(X1 X2) = E(X1) · E(X2) (d) P(X1 > 0) = P(X2 > 0) (e) E ([×¹¹]²) = E ([×2-²]²)
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