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An eyeglass manufacturer knows from past experience that 15.1% of manufactured lenses are defective due to scratches. Suppose that the manufacturer examined fifteen 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 = 150, p = 0.15 or Use technology to determine the following probabilities, rounding each to 4 decimal places. (b) Probability that none of the lenses selected have scratches. Answer = 0.0858✓✔ o (c) Probability that all of the lenses selected have scratches. Answer = 0.0 (d) Probability that at least two lenses have scratches. Answer = 0.6853✓ O (e) Probability that at most two lenses have scratches. Answer = 0.6346 X (f) Is it unusual for at least six lenses to be scratched? Probability of at least six lenses to be scratched = -0.0588 x Because this probability is less than least six lenses scratched of 0.05, it is unusual to have at

An eyeglass manufacturer knows from past experience that 15.1% of manufactured lenses are defective due to scratches. Suppose that the manufacturer examined fifteen 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 = 150, p = 0.15 or Use technology to determine the following probabilities, rounding each to 4 decimal places. (b) Probability that none of the lenses selected have scratches. Answer = 0.0858✓✔ o (c) Probability that all of the lenses selected have scratches. Answer = 0.0 (d) Probability that at least two lenses have scratches. Answer = 0.6853✓ O (e) Probability that at most two lenses have scratches. Answer = 0.6346 X (f) Is it unusual for at least six lenses to be scratched? Probability of at least six lenses to be scratched = -0.0588 x Because this probability is less than least six lenses scratched of 0.05, it is unusual to have at

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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An eyeglass manufacturer knows from past experience that 15.1% of manufactured lenses are defective due to scratches. Suppose that the manufacturer examined fifteen 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 = 15 ✓ , p = 0.15 0 Use technology to determine the following probabilities, rounding each to 4 decimal places. (b) Probability that none of the lenses selected have scratches. Answer = 0.0858✔ O (c) Probability that all of the lenses selected have scratches. Answer = 0.0 ✓ O (d) Probability that at least two lenses have scratches. Answer = 0.6853 (e) Probability that at most two lenses have scratches. Answer = 0.6346 X (f) Is it unusual for at least six lenses to be scratched? Probability of at least six lenses to be scratched = -0.0588 x Because this probability is less than least six lenses scratched. O 0.05, it is unusual o to have at
Transcribed Image Text:An eyeglass manufacturer knows from past experience that 15.1% of manufactured lenses are defective due to scratches. Suppose that the manufacturer examined fifteen 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 = 15 ✓ , p = 0.15 0 Use technology to determine the following probabilities, rounding each to 4 decimal places. (b) Probability that none of the lenses selected have scratches. Answer = 0.0858✔ O (c) Probability that all of the lenses selected have scratches. Answer = 0.0 ✓ O (d) Probability that at least two lenses have scratches. Answer = 0.6853 (e) Probability that at most two lenses have scratches. Answer = 0.6346 X (f) Is it unusual for at least six lenses to be scratched? Probability of at least six lenses to be scratched = -0.0588 x Because this probability is less than least six lenses scratched. O 0.05, it is unusual o to have at
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