Question: . Conditional probability Two-way tables To review these concepts, see Sections 2.1 and 2.2 in the textbook. 3.2.3 Probability 1. In a large general education

. Conditional probability Two-way tables To review these concepts, see Sections 2.1 and 2.2 in the textbook. 3.2.3 Probability 1. In a large general education class, 60% of students are science majors and 40% are liberal arts majors. Twenty percent of the science majors are seniors, while 30% of the liberal arts majors are seniors, Given the following two-way table answer the following questions. Senior Not a Senior Total Science 12,000 48,000 60,000 Liberal Arts 12,000 28,000 40,000 Total 24.000 76,000 100,000 a. What is the probability that a randomly selected senior is a science major! Use appropriate probability notation. b. What is the probability that a randomly selected student is both a a senior and a science major. Use appropriate probability notation. c. What is the probability that a randomly selected student is not a senior given they are a liberal arts major. Use appropriate probability notation. 42
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