A company produces component parts for an engine. Parts specifications suggest that 95% of items meet specifications. The parts are shipped to customers in lots of 200. Let X represent the number of defectives in a lot. Use normal approximation to find the following probabilities:
(a) What is the probability that more than 187 items will be non-defective in a given lot?
(b) What is the probability that at least 8 but less than 16 items will be defective in a given lot?