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2-49. If P 1A2 0.3 , P 1B2 0.2, and P 1A B2 0.1, determine the following probabilities: (a) P1A 2 (b) P1A B2 (c) P1A B2 (d) P1A B 2 (e) P3 1A B2 4 (f) P1A B2 2-50. If A, B, and C are mutually exclusive events with P 1A2 0.2, P 1B2 0.3, and P 1C 2 0.4, determine the following probabilities: (a) P1A B C2 (b) P1A B C2 (c) P1A B2 (d) P3 1A B2 C 4 (e) P1A B C 2 2-51. If A, B, and C are mutually exclusive events, is it possible for P(A) 0.3, P(B) 0.4, and P(C) 0.5 Why or why not 2-52. Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows: shock resistance high low 70 9 16 5 (a) If a shaft is selected at random, what is the probability that the shaft conforms to surface nish requirements (b) What is the probability that the selected shaft conforms to surface nish requirements or to roundness requirements (c) What is the probability that the selected shaft either conforms to surface nish requirements or does not conform to roundness requirements (d) What is the probability that the selected shaft conforms to both surface nish and roundness requirements 2-54. Cooking oil is produced in two main varieties: monoand polyunsaturated. Two common sources of cooking oil are corn and canola. The following table shows the number of bottles of these oils at a supermarket: type of oil canola corn 7 13 93 77

Table 15.8 Business-aligned and in control principles (continued)

In fact, the WAIS standardization sample, tested in 1953 1954, and the WAIS-R sample, tested between 1976 and 1980, correspond closely to the dates of Schaie s first and fourth cross-sectional analyses The two Wechsler standardization samples were quite comparable, allowing longitudinal interpretation of data obtained by independent samples from the same cohort Schaie (1983b) also conducted several longitudinal analyses based on comparable independent samples, in part to answer criticisms of the selective attrition associated with conventional longitudinal analysis, and concluded that the results were generally quite comparable (p 106) The use of independent samples or cohort substitution (Kausler, 1982), if they are truly comparable and random, makes it possible to compute age-change estimates that are controlled for the effects of testing and experimental mortality (Schaie, 1983b, p 106).

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(a) If a disk is selected at random, what is the probability that its scratch resistance is high and its shock resistance is high (b) If a disk is selected at random, what is the probability that its scratch resistance is high or its shock resistance is high (c) Consider the event that a disk has high scratch resistance and the event that a disk has high shock resistance. Are these two events mutually exclusive 2-53. The analysis of shafts for a compressor is summarized by conformance to speci cations. roundness conforms yes no 345 5 12 8

Kaufman (1990) used the cohort substitution method with the WAIS and WAIS-R normative samples serving as the data source, primarily to determine whether longitudinal data would replicate the cross-sectional finding of rapidly declining P-IQ across most of the life span He then used the same method with the WAIS-R and WAIS-III standardization samples (Kaufman, 2001) to cross-validate the WAIS/ WAIS-R finding for P-IQ and to determine whether the cross-sectional decline for V-IQ between ages 75 and 89 emerges with longitudinal data Kaufman s (1990) Study of WAIS and WAIS-R Samples The WAIS and WAIS-R standardization samples are quite similar to each other, each matching relevant Census data on numerous key variables They differ in that the data were collected 25 years apart, in approximately 1953 and.

(a) If a bottle of oil is selected at random, what is the probability that it belongs to the polyunsaturated category (b) What is the probability that the chosen bottle is monounsaturated canola oil 2-55. A manufacturer of front lights for automobiles tests lamps under a high humidity, high temperature environment using intensity and useful life as the responses of interest. The following table shows the performance of 130 lamps: useful life satisfactory unsatisfactory intensity satisfactory 117 3 unsatisfactory 8 2 (a) Find the probability that a randomly selected lamp will yield unsatisfactory results under any criteria. (b) The customers for these lamps demand 95% satisfactory results. Can the lamp manufacturer meet this demand 2-56. The shafts in Exercise 2-53 are further classi ed in terms of the machine tool that was used for manufacturing the shaft.

PRINCIPLE TYPE Mindset Mindset Mindset Mindset Architecture Architecture Architecture Architecture Architecture Architecture Execution Execution Execution Execution PRINCIPLE NAME End-to-end security Fail securely Security goals before means Time-based security Security guard Divide and conquer Layered security Defence in depth Watch the watchers Enlist the users Return on investment Security in every change Mature through time Issue-driven

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