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
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
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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