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 3 0.05 0.05 0.2 0.25 - ©xy = E[(X − #x)(Y → Hy)] Marginal Probability of Distribution of Y a) Calculate P(Y = 4 | X = 2) b) In one sentence, interpret the result you obtained in (c) above. c) 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 3 0.05 0.05 0.2 0.25 - ©xy = E[(X − #x)(Y → Hy)] Marginal Probability of Distribution of Y a) Calculate P(Y = 4 | X = 2) b) In one sentence, interpret the result you obtained in (c) above. c) Calculate the Cov(X,Y) using the formula 1
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.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 59E
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
0.1
0.1
0.03 0.2
0.02
3
0.05
0.05
-
©xy = E[(X − #x)(Y → Hy)]
0.25
Marginal Probability
of Distribution of Y
a) Calculate P(Y = 4 | X = 2)
b) In one sentence, interpret the result you obtained in (c) above.
c) Calculate the Cov( X,Y) using the formula
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F032f9f2f-4a86-4f7c-abbd-a161821f35fd%2F274c7eaf-9906-472f-b11f-667ca59d70ca%2Ftgd1aw_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
0.1
0.1
0.03 0.2
0.02
3
0.05
0.05
-
©xy = E[(X − #x)(Y → Hy)]
0.25
Marginal Probability
of Distribution of Y
a) Calculate P(Y = 4 | X = 2)
b) In one sentence, interpret the result you obtained in (c) above.
c) Calculate the Cov( X,Y) using the formula
1
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