4. (5 points) A radar has 100 cells, each having one or no false measurement with probabilities 0.01 and 0.99, respectively, independent of the other cells. Find: (a) PMF and expected number of false measurement in a cell and give the PMF's name, (b) PMF and expected number of the total false measurements of the radar over all cells and give the PMF's name, (c) probability for the radar to have at least one total false measurement