Question

Web crawlers need to estimate the frequency of changes to Web sites to maintain a current index for Web searches. Assume that the changes to a Web site follow a Poisson process with a mean of 6 days. Let a random variable X denote the time (in days) until the next change. What is the probability that the time until the next change is greater than 9.5 days

Answer 1

Answer:

The probability will be "0.205".

Step-by-step explanation:

The probability that perhaps the time remains greater than 9.5 days before the next shift will indeed be:

⇒  $P(X>9.5)$

⇒  $1-P(X<9.5)$

⇒  $1-(1-exp(\frac{-9.5}{6} ))$

⇒  $0.205$