2 (a) The defective rate of some chips produced by a manufacturer is known to be 2%. Suppose an inspector randomly selects 20 chips. (a.1) Find the probability that there is at most 1 defective chip. [6] (a.2) Find the probability that the inspector will find at least 1 defective chip. [5] (a.3) Determine how many defective chips the inspector will expect to find. [3] (b) Find x and y in terms of n and k such that the following expression holds: [7] 6-1)+()=0) M (c) Random variables X and Y are independently and identically distributed according to normal distribution with mean 3 and variance 6. Find probability that X>Y. [4] Total [25]