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.

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Section 5.3 Conditional Probability and Independence
321
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
В
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
this college's EPS students tend to earn lower grades than students in liberal arts and
social sciences? Explain.
you
whether
Transcribed Image Text:Section 5.3 Conditional Probability and Independence 321 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 В 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 this college's EPS students tend to earn lower grades than students in liberal arts and social sciences? Explain. you whether
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