The defective rate in a manufacturing process of computer chips is 5%. These chips are fixed on a board, each board containing 25 chips. A board will function if at most two chips are defective, but will not function if there are more than two defective chips among the 25. a) Find the probability that a randomly selected board will properly function. (10 pts.) b) Find the mean and the standard deviation of the number of defective chips on a randomly selected board. (10 pts.) c) Compute the answer to question (a) using the normal approximation to the binomial. (10 pts.) d) Calculate the relative error of the approximation. (10 pts)