5. Use R to calculate and simulate with the exponential distribution as follows. (a) For an exponential random variable X with A = 4, simulate 1000 independent exponential random variables by using the R function rexp(n, A). Calculate the mean and variance of this sample. (b) Compare the empirical results from part (a) with the distribution mean 1/A and the distribution standard deviation 1/A.
5. Use R to calculate and simulate with the exponential distribution as follows. (a) For an exponential random variable X with A = 4, simulate 1000 independent exponential random variables by using the R function rexp(n, A). Calculate the mean and variance of this sample. (b) Compare the empirical results from part (a) with the distribution mean 1/A and the distribution standard deviation 1/A.
Computer Networking: A Top-Down Approach (7th Edition)
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Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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5) Use R to calculate and simulate with the exponential distribution as follows.
(a) For an exponential random variable X with λ = 4, simulate 1000 independent exponential random variables by using the R function rexp(n, λ). Calculate the mean and variance of this sample.
(b) Compare the empirical results from part (a) with the distribution mean 1/λ and the distribution standard deviation 1/λ.
![5. Use R to calculate and simulate with the exponential distribution as follows.
(a) For an exponential random variable X with A = 4, simulate 1000 independent exponential random
variables by using the R function rexp(n, A). Calculate the mean and variance of this sample.
(b) Compare the empirical results from part (a) with the distribution mean 1/A and the distribution
standard deviation 1/A.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce9942b2-0b4c-4d97-8b84-b9459bf26205%2F2e934f03-8a0f-41d1-acb4-0a1d8dacce36%2F7ey01q7_processed.png&w=3840&q=75)
Transcribed Image Text:5. Use R to calculate and simulate with the exponential distribution as follows.
(a) For an exponential random variable X with A = 4, simulate 1000 independent exponential random
variables by using the R function rexp(n, A). Calculate the mean and variance of this sample.
(b) Compare the empirical results from part (a) with the distribution mean 1/A and the distribution
standard deviation 1/A.
![5. Use R to calculate and simulate with the exponential distribution as follows.
(a) For an exponential random variable X with A = 4, simulate 1000 independent exponential random
variables by using the R function rexp(n, A). Calculate the mean and variance of this sample.
(b) Compare the empirical results from part (a) with the distribution mean 1/A and the distribution
standard deviation 1/A.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce9942b2-0b4c-4d97-8b84-b9459bf26205%2F2e934f03-8a0f-41d1-acb4-0a1d8dacce36%2Fe92c8p_processed.png&w=3840&q=75)
Transcribed Image Text:5. Use R to calculate and simulate with the exponential distribution as follows.
(a) For an exponential random variable X with A = 4, simulate 1000 independent exponential random
variables by using the R function rexp(n, A). Calculate the mean and variance of this sample.
(b) Compare the empirical results from part (a) with the distribution mean 1/A and the distribution
standard deviation 1/A.
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