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)
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)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
Question
![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6035f1a2-2c03-490a-9469-88f7b64e730f%2F5de69dee-cdf5-42ba-bc99-4ba7846cd32a%2F096pz0v_processed.png&w=3840&q=75)
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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