A company is testing a new medication 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 rst symptoms of a migraine

occurred and then to record whether the headache went away within 45 minutes or lingered.

The results are recorded in the following table:

Headache went away

Headache lingered

Totals

Given medicine

132

18

150

Given placebo

56

44

100

Totals

188

62

250

(a) If a study participant is selected at random, what is the probability she was given the

placebo?

(b) If a study participant is selected at random, what is the probability her headache went

away within 45 minutes?

(c) If a study participant is selected at random, what is the probability she was given the

placebo and her headache went away within 45 minutes?

(d) If a study participant is selected at random, what is the probability she was given the

placebo or her headache went away within 45 minutes?