Let X and Y be two continmous random varíables with joint probability density function given by: f(x,y) = {Bxy, 0 SISYSI elsewhere Let cov(X,Y) = var(X) = and h(y) = {" (4y, 0sys1 elsewhere Then the value of var(X+ 2Y) is equal to:

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
Section13.3: Special Probability Density Functions
Problem 30E
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2 6:31
D165% ill aO
مكالمات الطوارئ فقط تد
Question
Let X and Y be two contimuous random variables with joint probability density function
given by:
f(x. y) = {.
(8xy, OSxsyS1
elsewhere
Let cov(X,Y) = var(X) = and h(y) = }
0,
(4y, 0sysi
elsewhere
Then the value of var(X + 2Y) is equal to:
68/75
None of the other options
82/75
O 424/225
Question
The joint probability distribution function of a discrete random variable is
f(x, y) = cx? y for x=1, 2, 3 and y=1, 4, 16. c # 0
Then P(1 <Y < 16|X = 3)%=
O 13/14
6/7
5/14
О 3/7
Transcribed Image Text:2 6:31 D165% ill aO مكالمات الطوارئ فقط تد Question Let X and Y be two contimuous random variables with joint probability density function given by: f(x. y) = {. (8xy, OSxsyS1 elsewhere Let cov(X,Y) = var(X) = and h(y) = } 0, (4y, 0sysi elsewhere Then the value of var(X + 2Y) is equal to: 68/75 None of the other options 82/75 O 424/225 Question The joint probability distribution function of a discrete random variable is f(x, y) = cx? y for x=1, 2, 3 and y=1, 4, 16. c # 0 Then P(1 <Y < 16|X = 3)%= O 13/14 6/7 5/14 О 3/7
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