I don't know how to write these two pmf/pdf into exponential family and how to calculate score function, information function, and expected information function.

1. [20 marks] Show that the following distributions can be written in exponential (dispersion) family or a general exponential family form [Slides # 3]. In each case show the relationship between the canonical (natural) parameters and compute the expected Fisher information. (b) Y has sample space {0, . . . , 10} and a probability mass function proportional to 1% for u > 0. (c) Y is a continuous random variable with support on the interval [0, 2] with prob ability density function which is proportional to yO'_1(2 y)