Mathematics

Brenden Daugherty

12 March, 19:52

A random group of high school and college students were asked if they study with or without listening to music. The frequency table below shows the results of the poll.

A 4-column table with 3 rows. The first column has no label with entries high school, college, total. The second column is labeled music with entries 68, 85, 153. The third column is labeled no music with entries 65, 51, 116. The fourth column is labeled total with entries 133, 136, 269.

Which statements are true? Check all that apply.

The table shows conditional relative frequencies by column.

The table shows conditional relative frequencies by row.

The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.

If someone prefers to study with music, the probability the person is in college is about 63%.

If someone prefers to study with music, the probability the person is in HS is about 44%.