Compare P(TWELVE|AE) and P(AE|TWELVE). Interpret what your answer means. Are TWELVE and AE independent? Explain your reasoning and interpret what your answer means.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Eastern High School's highest academic award category is Highest Honors. The next highest award is
Academic Excellence. The table shows data about the awards by grade. Use the table and the events
that follow to complete problems 3-6.
Grade
10
11
12
Award category
Highest Honors
36
32
30
Academic Excellence
TEN: A recognized student is in the tenth grade.
TWELVE: A recognized student is in the twelfth grade.
44
43
40
HH: A recognized student received the Highest Honors award.
AE: A recognized student received the Academic Excellence award.
Transcribed Image Text:Eastern High School's highest academic award category is Highest Honors. The next highest award is Academic Excellence. The table shows data about the awards by grade. Use the table and the events that follow to complete problems 3-6. Grade 10 11 12 Award category Highest Honors 36 32 30 Academic Excellence TEN: A recognized student is in the tenth grade. TWELVE: A recognized student is in the twelfth grade. 44 43 40 HH: A recognized student received the Highest Honors award. AE: A recognized student received the Academic Excellence award.
5. Compare P(TWELVE AE) and P(AE TWELVE). Interpret what your answer means.
6. Are TWELVE and AE independent? Explain your reasoning and interpret what your answer means.
Transcribed Image Text:5. Compare P(TWELVE AE) and P(AE TWELVE). Interpret what your answer means. 6. Are TWELVE and AE independent? Explain your reasoning and interpret what your answer means.
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