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TABLE 4-8 (According to the record of the registrar's office ata state university, 35% of the students are freshman, 25% aresophomore, 16% are junior, and the rest are senior. Among thefreshmen, sophomores, juniors, and seniors, the portion of studentswho live in the dormitory are, respectively, 80%, 60%, 30%, and20%. ) 40. Referring to Table 4-8, what is the probability that arandomly selected student is a freshman who lives in adormitory?

41. Referring to Table 4-8, what is the probability that arandomly selected student is a sophomore who does not live in adormitory?

42. 130) Referring to Table 4-8, what is the probability that arandomly selected student is a junior who does not live in adormitory?

43. Referring to Table 4-8, what is the probability that arandomly selected student is a junior or senior who lives in adormitory?

44. Referring to Table 4-8, what percentage of the students livein a dormitory? 45. Referring to Table 4-8, what percentage of thestudents do not live in a dormitory?

46. Referring to Table 4-8, if a randomly selected student livesin the dormitory, what is the probability that the student is afreshman?

47. Referring to Table 4-8, if a randomly selected student doesnot live in the dormitory, what is the probability that the studentis a junior or a senior?