The number of bytes downloaded per second on an information channel has mean 105 and

Chapter 2, Problem 18

(choose chapter or problem)

The number of bytes downloaded per second on an information channel has mean \(10^{5}\) and standard deviation \(10^{4}\). Among the factors influencing the rate is congestion, which produces alternating periods of faster and slower transmission. Let X represent the number of bytes downloaded in a randomly chosen five-second period.

a. Is it reasonable to assume that \(\mu_{x}=5 \times 10^{5}\)? Explain.

b. Is it reasonable to assume that \(\sigma_{x}=\sqrt{5} \times 10^{4}\) ? Explain.

Equation Transcription:

Text Transcription:

10^5

10^4

\mu_x=5 \times 10^5

\sigma_x=\sqrt 5\times 10^4

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