Show work please

6. Particles arrive Independently at a detector at the average rate of 3 per second. a) Find the probability that you have to walt no more than 2 seconds for an arrival? b) Nothing has arrived for the past 6 seconds. Find the probability that nothing will arrive in the next 6 seconds. (Do this problem twice, once with the exponential and once with the Poisson to Illustrate theat they both work.) 7. Assume that the number of accidents in a factory can be represented by a Poisson process averaging 2 accidents per week (assume a week is 5 days long). What is the probability that a) the time from now to the next accident will be more than 3 days? bl the time from now to the third accident will be more than 5 days