1. Given the following function: P11 X = x) = i for the values x = 0, 1, 2, 3, 4, or 5. (a) Show the probability distribution in table form. (b) CaICulate E{X) to 1 decimal place. (:2) Why is this a proper probability distribution? 2. Answer the following about the 1'?\" row (11 = 17) of Pascals Triangle: (a) How many numbers are in the 171h row? (b) What is the sum of the 171:. row? (b) List the first 5 numbers of the 17'\" row ( n = 17} from left to right. Give the numbers not just n_Cr. (C) Using properties of the Pascal's Triangle give an equivalent single combination in the form (n r ) or nCr. (i) (17 4 ) (ii) (17 9 ) + (1'7 10) BONUS (1313}+(1413)+(1513)+{1513)