Adverse events, sometimes called side effects, are events that occur during a trial which are contrary to the health of the participants. Sometimes, these are directly caused by the intervention, sometimes not, but it is a requirement that they are recorded. In the pilot study leading to this one, the average number of adverse events was 7. 1. Assuming that the number of adverse events follow a Poisson distribution, what is the probability that there will be fewer than 7 adverse events in this trial? 2. What is the probability that more than 7 adverse events are observed