The number of bytes downloaded per second on an

Chapter 2, Problem 18E

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QUESTION:

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  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=5x10^5

sigma_X=sqrty{5}x10^4

Questions & Answers

QUESTION:

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  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=5x10^5

sigma_X=sqrty{5}x10^4

ANSWER:

Answer:

Step 1 of 3:

               Given that, the number of bytes downloaded per second on an information channel has mean 105 and standard deviation 104.

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