The following table shows the information of a study that was conducted to test the side effects of two new pain relievers.

	Number of side effects in 12-week clinical trial
Side effect	Placebo n =192	Drug A n =186	Drug B n =188
Upper respiratory congestion	10	32	19
Sinus headache	11	25	32
Stomach ache	2	46	12
Neurological headache	34	55	72
Cough	22	18	31
Lower respiratory congestion	2	5	1

a)

Determine the following:

1. How many subjects were in the study?
2. What types of variable are they?
3. How long was the study?

(3)

b)

What is the probability that a randomly selected person was receiving a placebo?

(4)

c)

What is the probability that a person was receiving a placebo or drug A? Are these mutually exclusive events? What is the compliment of this event?

(7)

d)

What is the probability that a randomly selected person was receiving a placebo or experienced a neurological headache?

(4)

e)

What is the probability that a randomly selected person was not receiving a placebo or experienced a sinus headache?

(4)

f)

Decide which, if any, of the two new pain medication that you will use. Explain why.

(3)

(Total: 25 marks)