A company is testing a new medicine for migraine headaches. In the study 150 women were given the new medicine and an additional 100 women were given a placebo. Each participant was directed to take...

A company is testing a new medicine for migraine headaches. In the study 150 women were given the
new medicine and an additional 100 women were given a placebo. Each participant was directed to take
the medicine when the first symptoms of a migraine occurred and then record whether the headache
went away within 45 minutes. The results are record below:
Headache went away Headache Lingered
Given medicine 132 18
Given placebo 56 44

• If a study participant is selected at random, what is the probability she was given the placebo?

• If a study participant’s headache lingered, what is the probability she was given medicine?

• If a study participant is selected at random, what is the probability she was given the placebo or
her headache went away in 45 minutes?