For each of the distributions below, please provide the requested graphics as well as the numeric results. In both cases, please provide how you realized these (calculations, code, steps...) and why it is the appropriate tools. Do not forget to include the scale of each graphics so a reader can read the numbers represented.

b) The number of meteorites falling on an ocean in a given year can be modelled by a Poisson distribution with an expectation of = 37 . Explain why a Poisson distribution is a natural candidate for this phenomenon. Give a graphic showing the probability of one, two, three... meteorites falling (until the probability is less than 0.5%). Calculate the median and variance and show them graphically on this graphic.