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The joint density function of the random variables X and Y is given to the right. (a) Show that X and Y are not independent. (b) Find P(X>0.9 | Y=1.3). (a) Select the correct choice below and fill in the answer box to complete your choice. A. Since f(xly)= f(x,y) h(y) , for 0 < x <3-y, involves the variable y, X and Y are not independent. О в. f(x,y) Since f(xly)= for 0 < y <3-x, involves the variable x, X and Y are not independent. h(y) C. Since f(xly)= ○ D. Since f(xly)= f(x,y) h(y) f(x,y) h(y) , for 0

The joint density function of the random variables X and Y is given to the right. (a) Show that X and Y are not independent. (b) Find P(X>0.9 | Y=1.3). (a) Select the correct choice below and fill in the answer box to complete your choice. A. Since f(xly)= f(x,y) h(y) , for 0 < x <3-y, involves the variable y, X and Y are not independent. О в. f(x,y) Since f(xly)= for 0 < y <3-x, involves the variable x, X and Y are not independent. h(y) C. Since f(xly)= ○ D. Since f(xly)= f(x,y) h(y) f(x,y) h(y) , for 0

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.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 29CR
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The joint density function of the random variables X and Y is given to the right. (a) Show that X and Y are not independent. (b) Find P(X>0.9 | Y=1.3). (a) Select the correct choice below and fill in the answer box to complete your choice. A. Since f(xly)= f(x,y) h(y) , for 0 < x <3-y, involves the variable y, X and Y are not independent. О в. f(x,y) Since f(xly)= for 0 < y <3-x, involves the variable x, X and Y are not independent. h(y) C. Since f(xly)= ○ D. Since f(xly)= f(x,y) h(y) f(x,y) h(y) , for 0 <x<3-y, is a function of only the variable x, X and Y are not independent. for 0<x<3-y, is constant, X and Y are not independent. 4 f(x,y) = 27 x², 0<x<3,0<y<3-x 0, elsewhere
Transcribed Image Text:The joint density function of the random variables X and Y is given to the right. (a) Show that X and Y are not independent. (b) Find P(X>0.9 | Y=1.3). (a) Select the correct choice below and fill in the answer box to complete your choice. A. Since f(xly)= f(x,y) h(y) , for 0 < x <3-y, involves the variable y, X and Y are not independent. О в. f(x,y) Since f(xly)= for 0 < y <3-x, involves the variable x, X and Y are not independent. h(y) C. Since f(xly)= ○ D. Since f(xly)= f(x,y) h(y) f(x,y) h(y) , for 0 <x<3-y, is a function of only the variable x, X and Y are not independent. for 0<x<3-y, is constant, X and Y are not independent. 4 f(x,y) = 27 x², 0<x<3,0<y<3-x 0, elsewhere
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