Please answer the following question. Ignore the value in the box.

Consider a Bernoulli process, with arrival probability at each time slot equal to p = 1/3. An observer arrives at time slot 10 and sees that no arrival took place in that slot. A passerbv informs the observer that there was exactly one arrival during the preceding two time slots li.e., time slots 8 and 9} but has no additional information about which of the two it was. Let T be the number of time slots starting from the time slot of the last arrival (before slot 10] and until the time slot where the next arrival comes. For example, if the last arrival came at time 8 and the next arrival comes at time 13I T is the number of slots in the interval {8, 9,10,11,12,13}, so that T = 6. {Enter a numerical expression or a decimal accurate to at least 3 decimals places.) Find the probability that T = 4. 81'27