A rare defect affects one in 20,000 microchips to malfunction. What is the probability that exactly 2 out of 1000 randomly selected microchips from a production line malfunction? Let X denote the number of malfunctioning microchips and assume X has binomial distribution or X has the Poisson distribution to compute the probability of X = 2 this to happen? Discuss the differences between the two answers and comment on the use of the Poisson distribution here, e.g. do you consider describing the number of malfunctioning microchips to have a Poisson distribution to be valid