Let X and Y denote the lengths of life, in hours, of two viruses. Suppose that X and Y are random variables with the joint density function: f(х, у) %3D ezez ifx> 0 and y > 0; otherwise. Then a. k =! b. k = c. k= 1 d. k = 2 Question 4: Given the joint density function: (6 — х — у if 0 < x < 2 and 2 < y < 4; f(x,y) = 8 otherwise. The marginal distribution h(y) is: (6-y a. h(y) = if 2 < y< 4; 8 otherwise. (S=Y if 2

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Chapter1: Combinatorial Analysis
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Question 3:
Let X and Y denote the lengths of life, in hours, of two viruses. Suppose that X and Y are random
variables with the joint density function:
ež ifx>0and y > 0;
f(x, y) =
otherwise.
Then
a. k =
b. k =
k = 1
d. k = 2
с.
Question 4:
Given the joint density function:
(6 – x – y
f(x, y) =
if 0 < x < 2 and 2 < y < 4;
8
otherwise.
The marginal distribution h(y) is:
(6-y
if 2<y< 4;
а. h(y) %3
8
otherwise.
(5-y
b. h(y) = -
if 2<y< 4;
4
otherwise.
(5+y
c. h(y) = ·
if 2<y< 4;
4
otherwise.
(5-у
d. h(y) =
1
if 2< y< 4;
4
otherwise.
Question 5:
Let X and Y be two independent random variables such that E[X]=3, E(Y)=4, V(X)=10 and
V(Y)=20. Then Ex -Y)²] is equal to:
a. 55
b. 31
с. 20
d. 15
Transcribed Image Text:Question 3: Let X and Y denote the lengths of life, in hours, of two viruses. Suppose that X and Y are random variables with the joint density function: ež ifx>0and y > 0; f(x, y) = otherwise. Then a. k = b. k = k = 1 d. k = 2 с. Question 4: Given the joint density function: (6 – x – y f(x, y) = if 0 < x < 2 and 2 < y < 4; 8 otherwise. The marginal distribution h(y) is: (6-y if 2<y< 4; а. h(y) %3 8 otherwise. (5-y b. h(y) = - if 2<y< 4; 4 otherwise. (5+y c. h(y) = · if 2<y< 4; 4 otherwise. (5-у d. h(y) = 1 if 2< y< 4; 4 otherwise. Question 5: Let X and Y be two independent random variables such that E[X]=3, E(Y)=4, V(X)=10 and V(Y)=20. Then Ex -Y)²] is equal to: a. 55 b. 31 с. 20 d. 15
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