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Let X and Y have bivariate normal distribution with parameters Hx = 5, y = 10, ox²=1, oy²=25 and Corr (X, Y) = p. (a) If p>0, find p when P (4

Let X and Y have bivariate normal distribution with parameters Hx = 5, y = 10, ox²=1, oy²=25 and Corr (X, Y) = p. (a) If p>0, find p when P (4

Calculus For The Life Sciences
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.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 9E
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Let X and Y have bivariate normal distribution with parameters: x = 5, y = 10, ox²=1, oy²=25 and Corr (X, Y) = p. (a) If p>0, find p when P (4<Y<16 1 X= 5)=0-954 (b) If p= 0, find P(X+Y) ≤16.
Transcribed Image Text:Let X and Y have bivariate normal distribution with parameters: x = 5, y = 10, ox²=1, oy²=25 and Corr (X, Y) = p. (a) If p>0, find p when P (4<Y<16 1 X= 5)=0-954 (b) If p= 0, find P(X+Y) ≤16.
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