1. The response time is the speed of page downloads and it is critical for a mobile Web site. As the response time increases, customers become more frustrated and potentially abandon the site for a competitive one. Let X = the number of bars of service and Y = response time (to the nearest second) We define the range of the random variables (X, Y) to be the set of points (x, y) in two-dimensional space for which the probability that X = X and Y y is positive. y = Response Time (nearest second) 4 3 2 1 Marginal Probability of Distribution of X x = Number of Bars of Signal Strength 1 0.15 0.02 0.02 0.01 2 0.1 0.1 0.03 0.02 = oxy = E[(X − Hx)(Y –Hy)] 3 0.05 0.05 0.2 0.25 Marginal Probability of Distribution of Y a) Complete the table by calculating the marginal probabilities. b) State P (X = 1, Y = 2) c) Calculate P(Y = 4 | X = 2) d) In one sentence, interpret the result you obtained in (c) above. d) Calculate the Cov(X,Y) using the formula 1
1. The response time is the speed of page downloads and it is critical for a mobile Web site. As the response time increases, customers become more frustrated and potentially abandon the site for a competitive one. Let X = the number of bars of service and Y = response time (to the nearest second) We define the range of the random variables (X, Y) to be the set of points (x, y) in two-dimensional space for which the probability that X = X and Y y is positive. y = Response Time (nearest second) 4 3 2 1 Marginal Probability of Distribution of X x = Number of Bars of Signal Strength 1 0.15 0.02 0.02 0.01 2 0.1 0.1 0.03 0.02 = oxy = E[(X − Hx)(Y –Hy)] 3 0.05 0.05 0.2 0.25 Marginal Probability of Distribution of Y a) Complete the table by calculating the marginal probabilities. b) State P (X = 1, Y = 2) c) Calculate P(Y = 4 | X = 2) d) In one sentence, interpret the result you obtained in (c) above. d) Calculate the Cov(X,Y) using the formula 1
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![1.
The response time is the speed of page downloads and it is critical for a mobile Web site. As the
response time increases, customers become more frustrated and potentially abandon the site for a
competitive one.
Let X = the number of bars of service and Y = response time (to the nearest second)
We define the range of the random variables (X, Y) to be the set of points (x, y) in two-dimensional
space for which the probability that X = X and Y = y is positive.
y = Response Time
(nearest second)
4
3
2
1
Marginal Probability of
Distribution of X
x = Number of Bars of Signal
Strength
1
0.15
0.02
0.02
0.01
2
3
0.1
0.05
0.1
0.05
0.03
0.2
0.02 0.25
oxy =
a) Complete the table by calculating the marginal probabilities.
b) State P (X= 1, Y = 2)
c) Calculate P(Y = 4 | X = 2)
d) In one sentence, interpret the result you obtained in (c) above.
d) Calculate the Cov(X,Y) using the formula
= E[(X − Hx)(Y –Hy)]
Marginal Probability
of Distribution of Y
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F032f9f2f-4a86-4f7c-abbd-a161821f35fd%2F7a718930-c1fd-4d51-91fb-c9d1adcfa20e%2Fupt1syk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1.
The response time is the speed of page downloads and it is critical for a mobile Web site. As the
response time increases, customers become more frustrated and potentially abandon the site for a
competitive one.
Let X = the number of bars of service and Y = response time (to the nearest second)
We define the range of the random variables (X, Y) to be the set of points (x, y) in two-dimensional
space for which the probability that X = X and Y = y is positive.
y = Response Time
(nearest second)
4
3
2
1
Marginal Probability of
Distribution of X
x = Number of Bars of Signal
Strength
1
0.15
0.02
0.02
0.01
2
3
0.1
0.05
0.1
0.05
0.03
0.2
0.02 0.25
oxy =
a) Complete the table by calculating the marginal probabilities.
b) State P (X= 1, Y = 2)
c) Calculate P(Y = 4 | X = 2)
d) In one sentence, interpret the result you obtained in (c) above.
d) Calculate the Cov(X,Y) using the formula
= E[(X − Hx)(Y –Hy)]
Marginal Probability
of Distribution of Y
1
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