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Chapter 4: Q. 42 (page 241)

Internet charges Some Internet service providers (ISPs) charge companies based on how much bandwidth they use in a month. One method that ISPs use to calculate bandwidth is to find the 95thpercentile of a company鈥檚 usage based on samples of hundreds of 5-minute intervals during a month.

a. Explain what 鈥�95thpercentile鈥� means in this setting.

b. Is it possible to determine the z-score for a usage total that is at the 95thpercentile? If so, find the z-score. If not, explain why not

Short Answer

Expert verified

Part(a) This means that the 95thpercentile bandwidth is the bandwidth that the company consumes less than 95%of the time.

Part(b) Yes, The z-score is 98thpercentile.

Step by step solution

01

Part(a) Step 1 : Given information

We need to explain 95th percentile in this setting.

02

Part(a) Step 2 : Simplify

Some internet service providers (ISPs) bill businesses based on the amount of bandwidth they consume every month.
As a result, we need to figure out what the 95th percentile means in this situation.
This means that the 95thpercentile bandwidth is the bandwidth that the company consumes less than 95% of the time.
95percent of the time, the company utilises bandwidth that is less than the 95th percentile.

03

Part(b) Step 1 : Given information

We need to find z-score for the given data.

04

Part(b) Step 2 : Simplify

The z-score for a usage total that is in the 95thpercentile can be calculated.
And the bandwidth's z-score will be 98thpercentile, because bandwidth for the 98thpercentile will be higher than for the 95thpercentile, and higher bandwidth will cost more.
As a result, the outcome.

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