## Related questions with answers

According to Brighton Webs LTD, a British company that specializes in data analysis, the arrival time of requests to a Web server within each hour can be modeled by a uniform distribution ( www.brighton-webs. co.uk ). Specifically, the number of seconds x from the start of the hour that the request is made is uniformly distributed between 0 and 3,600 seconds. Find the probability that a request is made to a Web server sometime during the last 15 minutes of the hour.

Solution

VerifiedIn this exercise we have that $X$ is a uniform random variable with $c=0$ and $d=3600$ ($X:U(0,3600)$).

We need to find the following probability:

$\begin{align*} P(2700\leq X\leq 3600), \end{align*}$

because last 15 minutes is equal to last 900 seconds (each minute contains 60 seconds).

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