## Question

###### (10 points) YOu have observed that the number of hits to your web site follow Poisson distribution at rate of per minute_ Let T be the time (in minutes) between hits: (This means that T is exponentially distributed)_(10 points) What is the probability of waiting more than 30 seconds (PIT > 1/2]) (10 points) Given that you have already waited minute for hic_ what is the probability that YOu will need to wait more than an additional 30 seconds? (PIT > 3/21T > 1])

(10 points) YOu have observed that the number of hits to your web site follow Poisson distribution at rate of per minute_ Let T be the time (in minutes) between hits: (This means that T is exponentially distributed)_ (10 points) What is the probability of waiting more than 30 seconds (PIT > 1/2]) (10 points) Given that you have already waited minute for hic_ what is the probability that YOu will need to wait more than an additional 30 seconds? (PIT > 3/21T > 1])

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