a) A corporation has five employees and needs to build a project team that includes a project manager, a designer, a developer, a tester, and a business analyst. How many ways can they divide these jobs among the five employees? b) A project team comprises of eight individuals, and the manager must pick a subgroup of four to attend a conference. How many distinct combinations of four team members may be selected to represent the organization at the conference? c) In a software development team, find the likelihood of a developer finishing a job on time. Define a random variable X as the number of tasks completed on time from a set of five tasks. x P(x) 0 0.094 1 0.334 2 0.308 3 0.166 4 0. 166 5 0.092