Determine the value of c that makes the function f (x,y) = c(x + y) a joint probability density function over the range 1 < x < 4 and 0 < y < 3 a. C = 36 b. 24 O c. c = 24 d. None -|% -

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
Section13.1: Continuous Probability Models
Problem 16E
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Answer the following questions

Determine the value of c that makes the function f (x, y) = c(x + y) a joint probability density
function over the range 1 < x < 4 and 0 < y < 3
1
а.
36
b.
C =
24
O c. c =
24
d. None
Transcribed Image Text:Determine the value of c that makes the function f (x, y) = c(x + y) a joint probability density function over the range 1 < x < 4 and 0 < y < 3 1 а. 36 b. C = 24 O c. c = 24 d. None
Determine the conditional probability distribution of Y given that X = 1. Where the joint
1
probability density function is given by f (x, y) = xy for 0 < x < 4 and 0 < y < 4.
64
O a.
-y for 0 < y < 4
8
O b. None
O c. 8y for 0 < y < 4
O d. 1
-y for 0 < y < 4
64
Transcribed Image Text:Determine the conditional probability distribution of Y given that X = 1. Where the joint 1 probability density function is given by f (x, y) = xy for 0 < x < 4 and 0 < y < 4. 64 O a. -y for 0 < y < 4 8 O b. None O c. 8y for 0 < y < 4 O d. 1 -y for 0 < y < 4 64
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