Please solve asap and if its a probability question please answer with e^ the number no matter how small it is

A ropery makes mooring ropes for small boats. Each day, a rope of 1000 meters is produced and then cut into 20 ropes of size 50 meters. Let us suppose that the number of defects along the rope can be modeled as a Poisson distribution with a parameter which is directly proportional to the length of the rope itself and that the mean number of daily defects (in the 1000m rope) is 4. Moreover assume that the number of defects in disjoint pieces of the rope are independent. a. Compute the probability that the rope produced today has less than 3 defects. b. Compute the probability that the last 10 (50m long) ropes produced today do not have any defects. c. Compute the probability that at most one of the 20 small ropes produced today has some defects. d. Let us consider the ropes produced yesterday and today. Compute the probability that none of the pieces of the rope produced yesterday have defects knowing that the total number of defects in the two days are 3