CHECK YOUR UNDERSTANDING Students at the University of New Harmony received 10,000 course grades last semester. The two-way table below breaks down these grades by which school of the university taught the course. The schools are Liberal Arts, Engineering and Physical Sciences, and Health and Human Services. Grade Level School A B Below B Liberal Arts 2,142 1,890 2,268 Engineering and Physical Sciences 368 432 800 Health and Human Services 882 630 588 (This table is based closely on grade distributions at an actual university, simplified a bit for clarity.)" College grades tend to be lower in engineering and the physical sciences (EPS) than in liberal arts and social sciences (which includes Health and Human Services). Choose a University of New Harmony course grade at random. Consider the two events E: the grade comes from an EPS course, and L: the grade is lower than a B. 1. Find P(L). Interpret this probability in context. 2. Find P(E | L) and P(L|E). Which of these conditional probabilities tells you whether this college's EPS students tend to earn lower grades than students in liberal arts and social sciences? Explain.

CHECK YOUR UNDERSTANDING Students at the University of New Harmony received 10,000 course grades last semester. The two-way table below breaks down these grades by which school of the university taught the course. The schools are Liberal Arts, Engineering and Physical Sciences, and Health and Human Services. Grade Level School A B Below B Liberal Arts 2,142 1,890 2,268 Engineering and Physical Sciences 368 432 800 Health and Human Services 882 630 588 (This table is based closely on grade distributions at an actual university, simplified a bit for clarity.)" College grades tend to be lower in engineering and the physical sciences (EPS) than in liberal arts and social sciences (which includes Health and Human Services). Choose a University of New Harmony course grade at random. Consider the two events E: the grade comes from an EPS course, and L: the grade is lower than a B. 1. Find P(L). Interpret this probability in context. 2. Find P(E | L) and P(L|E). Which of these conditional probabilities tells you whether this college's EPS students tend to earn lower grades than students in liberal arts and social sciences? Explain.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.5: Markov Chain

Problem 16E: Consumer Preference In a population of 100,000 consumers, there are 20,000 users of Brand A, 30,000...

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