11. Events occur according to a Poisson process with rate . Any event that occurs within a...

11. Events occur according to a Poisson process with rate λ. Any event that occurs within a time d of the event that immediately preceded it is called a d-event. For instance, ifI mage and events occur at timesI mage then the events at times 2.8 and 6.6 would be d-events.

(a) At what rate do d-events occur?

(b) What proportion of all events are d-events?