. A company releases a new product; at first they receive complaints about the product very infrequently, but, as time progresses and more people realize how poorly the product functions. The number of complaints that the company receives can be modeled according a nonhomogeneous Poisson process with intensity function (t) = e^t , where t 0 denotes the time in days since the product was released.

(a) Find the probability mass function of the number of complaints the company has received within the first month of the product's release.

(b) Calculate expected number of complaints that the store will receive between the first and second month after the product's release.