Question

	Inactive	Low	Moderate	High
Male	14	15	29	42
Female	39	22	23	16

If a student is selected at random,

i. What is the probability that they have a low physical activity level?

ii. What is the probability that they are a female with moderate physical activity level?

iii. What proportion of the students are inactive?

iv. What proportion of female students have a high activity level?

v. What proportion of the students have a moderate or high activity level?

Answer 1

	Inactive	Low	Moderate	High	Total
Male	14	15	29	42	100
Female	39	22	23	16	100
Total	53	37	52	58	200

i)

The probability that they have a low physical activity level = 37/200 = 0.185

ii)

The probability that they are a female with moderate physical activity level = 23/200 = 0.115

iii)

The proportion of the students are inactive = 53/200 = 0.265

iv)

The proportion of female students have a high activity level = 16/200 = 0.08

v)

The proportion of the students have a moderate or high activity level = 52/200 + 58/200 = 0.26 + 0.29 = 0.55