Still waiting for the server? How does your web browser get a file from the
Internet? Your computer sends a request for the file to a web server, and the web
400 server sends back a response. Let Y = the amount of time (in seconds) after the
start of an hour at which a randomly selected request is received by a particular
web server. The probability distribution of Y can be modeled by a uniform density
curve on the interval from 0 to 3600 seconds. Find the probability that the request
is received by this server within the first 5 minutes (300 seconds) after the hour.

Using the uniform distribution, it is found that there is a 0.0833 = 8.33% probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour.

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An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability distribution of Y can be modeled by a uniform density curve on the interval from 0 to 3600 seconds, thus [tex]a = 0, b = 3600[/tex].

Probability in the first 5 minutes(300 seconds) is:

[tex]P(X < 300) = \frac{300 - 0}{3600 - 0} = 0.0833[/tex]

0.0833 = 8.33% probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour.

A similar problem is given at https://brainly.com/question/17088600