Each day, a certain website keeps track of the number of times that it gets attacked by hackers on that day. If it is attacked by hackers more than 6 times during the course of a day, the website is taken offline for maintenance at the end of the day. It remains offline for the whole of the following day, after which it is brought back online again. It is known that hacker attacks follow a Poisson process, with an average rate of 2 attacks per day. Suppose that the website was brought online at the start of the day today.

- What is the probability that the website will remain online at the end of the day? Assume that only hacker attacks can cause it to be taken offline.

- What is the expected number of consecutive days, including today, for which the website will stay online?