5. When circuit boards used in the manufacture of compact disc play- ers are tested, the long run percentage of defective is 5%. Let X= the number of defective boards in random sample of size n = 25, so X Bin(25, 0.05). a) [6] Find the probability that the number of defective boards is (i) At most 2 (ii) At least 5 (iii) Between 1 and 4, inclusive. b) [1] What is the probability that none of the 25 boards is defective? c) [2] Calculate the expected value and standard deviation of X