## Statistics- The time between arrival of HTTP requests to a webserver

## Statistics- The time between arrival of HTTP requests to a webserver

The time between arrival of HTTP requests to a webserver is (negative) exponentially distributed with parameter λ = 0.5 requests/second. Note the CDF of the (negative) exponential distribution (denoted by X) is given byFX(t) = 1 − e−λt , where t ≥ 01) What is the probability that a time between requests exceeds 2 seconds?2) What is the conditional probability that the inter-request time is at least 5 seconds, given that the duration exceeds 4 seconds?

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