Four categories of costs associated with product quality are: Select one: a. External failure, internal failure, prevention, and carrying. b. External failure, internal failure, prevention, and appraisal. c. Warranty, product liability, prevention, and training. d. External failure, internal failure, training, and appraisal.

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Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

Stock a has a beta of 1.2 and a standard deviation of 20%. stock b has a beta of 0.8 and a standard deviation of 25%. portfolio p has $200,000 consisting of $100,000 invested in stock a and $100,000 in stock b. which of the following statements is correct? (assume that the stocks are in equilibrium.) (a) stock b has a higher required rate of return than stock a. (b) portfolio p has a standard deviation of 22.5%. (c) portfolio p has a beta equal to 1.0. (d) more information is needed to determine the portfolio's beta. (e) stock a's returns are less highly correlated with the returns on most other stocks than are b's returns.