High school students and college students were surveyed to see what type of movies they prefer. the results are as follows:

high school—action: 26; drama: 14; comedy: 22
college—action: 20; drama: 28; comedy: 18

which of the following is a correct two-way relative frequency table for the data?

It's asking for two-way relative frequency so the answer must be in relative form.

If I'm not wrong that would be the last table D.

-1/2 +2

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560