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The following two-way table shows the distribution of high school students categorized by their grade level and music-listening preference.

A 4-column table with 3 rows. Column 1 has entries junior, sophomore, total. Column 2 is labeled Earbuds with entries 4, 4, 8. Column 3 is labeled Speakers with entries 12, 12, 24. Column 4 is labeled total with entries 16, 16, 32. The columns are titled music-listening preferences and the rows are titled grade level.

Suppose a high school student is selected at random. Let event A = junior and event B = earbuds. Are events A and B independent?

Yes, P(A) = P(A|B).
Yes, P(A) = P(B|A).
No, P(A) ≠ P(A|B).
No, P(A) ≠ P(B|A).

The following twoway table shows the distribution of high school students categorized by their grade level and musiclistening preference A 4column table with 3 class=
Q&A Education