Three couples and two single individuals have been invited to aninvestment seminar and have agreed to attend. suppose the probabilitythat any particular couple or individual arrives late is .4 (a couple willtravel together in the same vehicle, so either both people will be on timeor else both will arrive late). assume that different couples andindividuals are on time or late independently of one another. let x = thenumber of people who arrive late for the seminar. a. determine the probability mass function of x. [hint label thethree couples #1, #2, and #3 and the two individuals #4 and #5.]b. obtain the cumulative distribution function of x, and use it tocalculate p(2 s x s 6).