Classify the random variables below according to whether they are discrete or continuous.

a$.$ The percentage change in earnings between last year and this year for a particular firmpercentage$$change$$in$$earnings$$between$$last$$year$$and$$this$$year$$for$$a$$particular$$firm

b$.$ The yearly earnings of a particular firmyearly$$earnings$$of$$a$$particular$$firm

c$.$ The quarterly earnings of a particular firmquarterly$$earnings$$of$$a$$particular$$firm

d$.$ The percentage change in liabilitiespercentage$$change$$in$$liabilities

e$.$ The percentage increase in new consumerspercentage$$increase$$in$$new$$consumers

f$.$ The number of shares of a particular stock that are traded each business daynumber$$of$$shares$$of$$a$$particular$$stock$$that$$are$$traded$$each$$business$$day

Question content area bottom

Part $1$

a$.$ Is the

percentage change in earnings between last year and this year for a particular firmpercentage$$change$$in$$earnings$$between$$last$$year$$and$$this$$year$$for$$a$$particular$$firm

discrete or$$ continuous?

A$.$

discretediscrete$,$

because the variable can be countedcan$$be$$counted

B$.$

continuouscontinuous$,$

because the variable can be measured on an intervalcan$$be$$measured$$on$$an$$interval

C$.$

$$continuous$,$ because the variable can be counted

D$.$

$$discrete$,$ because the variable can measured on an interval