Denote by N,, and Nw the total number of road accidents in Lafayette and West Lafayette respectively. It is known that N and Nw are probability independent, and each of them has mass function (pmf) Р() %— е "/i., i = 0,1, 2,... e Suppose we know that there were m road accidents together in the two cities. Using this information, compute P(NL = i | NL+Nw=m) for i = 0,1,...,m. What is the conditional distribution of NL given that NL+Nw=m?