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>0.2 | Y=0.6). (a) Select the correct choice below and fill in the answer box to complete your choice. O A. O B. O C. O D. Since f(xly) = Since f(xly) = Since f(xly) = Since f(xly) = f(x,y) h(y) f(x,y) h(y) f(x,y) h(y) f(x,y) h(y) f(x,y)= 12x², 00.2 | Y=0.6)= (Simplify your answer. Round to six decimal places as needed.) , for 0

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
icon
Related questions
Question

I need help with this very soon please.

Thanks.

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>0.2 | Y=0.6).
(a) Select the correct choice below and fill in the answer box to complete your choice.
O A.
f(x,y)
h(y)
O B.
O C.
O D.
Since f(xly) =
Since f(xly) =
Since f(xly) =
Since f(xly) =
f(x,y)
h(y)
f(x,y)
h(y)
f(x,y)
h(y)
f(x,y)=
12x², 0<x<1,0<y<1-x
0₁
, for 0<x< 1-y, is constant, X and Y are not independent.
elsewhere
for 0 <y <1-x, involves the variable x, X and Y are not independent.
(b) P(X>0.2 | Y=0.6) =
(Simplify your answer. Round to six decimal places as needed.)
for 0<x< 1 - y, involves the variable y, X and Y are not independent.
, for 0<x<1-y, is a function of only the variable X, X and Y are not independent.
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>0.2 | Y=0.6). (a) Select the correct choice below and fill in the answer box to complete your choice. O A. f(x,y) h(y) O B. O C. O D. Since f(xly) = Since f(xly) = Since f(xly) = Since f(xly) = f(x,y) h(y) f(x,y) h(y) f(x,y) h(y) f(x,y)= 12x², 0<x<1,0<y<1-x 0₁ , for 0<x< 1-y, is constant, X and Y are not independent. elsewhere for 0 <y <1-x, involves the variable x, X and Y are not independent. (b) P(X>0.2 | Y=0.6) = (Simplify your answer. Round to six decimal places as needed.) for 0<x< 1 - y, involves the variable y, X and Y are not independent. , for 0<x<1-y, is a function of only the variable X, X and Y are not independent.
Expert Solution
steps

Step by step

Solved in 6 steps with 51 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage