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 number of bytes downloaded per second on an information channel has mean 10⁵ and standard deviation 10⁴. 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 μ_X = 5 × 10⁵? Explain.

b. Is it reasonable to assume that σ_X =√5 × 10⁴? Explain.

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