An eyeglass manufacturer knows from past experience that 16.1% of manufactured lenses are defective due to scratches. Suppose that the manufacturer examined sixteen eyeglasses. Assume that the binomial distribution applies. (a) What are the number of trials n and the probability of "success" p in this case? n = , p = Use technology to determine the following probabilities, rounding each to 4 decimal places. (b) Probability that none of the lenses selected have scratches. Answer = (c) Probability that all of the lenses selected have scratches. Answer = (d) Probability that at least five lenses have scratches. Answer = (e) Probability that at most five lenses have scratches. Answer = (f) Is it unusual for at least six lenses to be scratched? Probability of at least six lenses to be scratched = Because this probability is Select an answer less than greater than or equal to 0.05, it Select an answer is not unusual is unusual to have at least six lenses scratched.