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 μX = 5 × 105?Explain.

b. Is it reasonable to assume that Explain.

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.

Step 2 of 3:

a). To find , is it reasonable or not?.

It is a reasonable. Let denote the number of bytes downloaded in the second.

The total number of bytes is The mean of the total number is the sum of the five means, each of which is equal to