Question

A recent survey done by a class of Clark College students has returned the following results about how students dispose of their waste, and if the waste was disposed of properly. Each number represents the number of waste items disposed of in one day.

	Trash	Recycle	Compost
Disposed Properly	25	45	8
Disposed Improperly	51	3	0
They Didn't Know	21	4	1

A. State the population

(b) State the sample

(c) State the response variable and if the variable is qualitative or quantitative.

(d) Find the probability of a waste item being trash and disposed of properly.

(e) Find the probability of a waste item being recycle or disposed of improperly.

f. Suppose a waste item was compost. Find the probability of the item being disposed of properly.

Answer 1

(a)

Population is the entire waste item in the country

(b)

Sample is the Total of 158 wastes selected

(c) Response variable: Type of waste with values: Trash, Recycle and Compost. Qualitative

(d)

	Trash	Recycle	Compost	Total
Disposed properly	25	45	8	78
Disposed improperly	51	3	0	54
They didn't know	21	4	1	26
Total	97	52	9	158

P(Trash & Disposed properly) = 25/158 = 0.1582

(e)

P(Recycle & Disposed improperly) = 3/158 = 0.019

(f)

Suppose a waste item was compost.

P(Compost & Disposed properly) = 8/158 = 0.0506