E-mail Broadcasting. An official of an organization sends email messages to various subgroups of the organization at times that form a Poisson process with intensity μ. Each message is sent to...

E-mail Broadcasting. An official of an organization sends email messages to various subgroups of the organization at times that form a Poisson process with intensity μ. Each message is sent to individual i with probability pi, i = 1,...,m, where m is the number of individuals in the organization; and the message is sent at the same time to those selected individuals. Let Ni(t) denote the number of messages individual i receives from the official in the time interval (0, t]. Justify that Ni is a Poisson process and specify its intensity