Question 1: Let X and Y be two discrete random variables with a joint probability distribution given by |X =2 X=4 0.15 Y=1 k 0.2 Y=5 035 Y=3 0.15 0.1 The value of k is (a) k0.1 (b)k0.05 (e) k03 (d)None of the above. Question 2: Let X and Y be 2 random variables with joint probability distribution given in the following table: f(x.y) 02 03 0.1 4 04 Then f(Y = 3X = 0) is equal to: h. 05 e 0.75 d. 1 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: Kx.y) = {ketet tx>0 and y> 0: otherwise. Then a k- k k d. k2 Question 4: Given the joint density function: fx, y)= (6-X-y if0
Question 1: Let X and Y be two discrete random variables with a joint probability distribution given by |X =2 X=4 0.15 Y=1 k 0.2 Y=5 035 Y=3 0.15 0.1 The value of k is (a) k0.1 (b)k0.05 (e) k03 (d)None of the above. Question 2: Let X and Y be 2 random variables with joint probability distribution given in the following table: f(x.y) 02 03 0.1 4 04 Then f(Y = 3X = 0) is equal to: h. 05 e 0.75 d. 1 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: Kx.y) = {ketet tx>0 and y> 0: otherwise. Then a k- k k d. k2 Question 4: Given the joint density function: fx, y)= (6-X-y if0
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Contingency Table
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Transcribed Image Text:D 3:00
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e Math 310_Key Prac...
Question 1:
Let X and Y be two discrete random variables with a joint probability distribution given by
X= 2 X=4
k
Y = 3 0.15
Y=5 0.35
Y= 1
0.15
0.2
0,2
0.1
The value of k is:
(a) k=0.1
(b) k = 0.05
(e) k = 0.3
(d)None of the above.
Question 2:
Let X and Y be 2 random variables with joint probability distribution given in the following table:
f(x, y)
0.3
0.2
Y
4
0.1
0.4
Then f(Y = 3|X = 0) is equal to:
a. 0
b. 0.5
e 075
d. 1
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:
v) = (kete? 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-x-y ifo<x< 2 and 2<y < 4;
f(x, y) =
otherwise.
The marginal distribution h(y) is:
if 2<y< 4;
a. h(y) =
otherwise.
b. h(y) = if 2<y< 4;
otherwise.
( if 2<y< 4;
c. h(y) =
otherwise.
if 2<y<4;
d. h(y) =
1
4
otherwise.
Question 5:
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