150k views
5 votes
Please help with two- Way Frequency tables (picture attached)

Please help with two- Way Frequency tables (picture attached)-example-1

1 Answer

0 votes

Let's start with the column and row totals, which should make things easier

Total <$20K = 69+112+102+13 = 296

total $20-30K 500

total >30K 404

TOTAL 296+500+404=1200

Rows,

<HS 69+36+2 = 107

HS 224

Some C 438

C 431

Check total: 107+224+438+431 = 1200, good

A. P(<HS) = 107/1200

because there are 107 folks who didn't finish high school out of the 1200 total.

B. P(<$20K) = 296/1200 = 37/150

C. P(>$30K & <HS)

Only 2 of 1200 folks fit this description, upper right box.

P(>$30K & <HS) = 2/1200 = 1/600

D. P(<$20K & C) = 13/1200

That's the bottom left box.

E. P(>$30K & HS) = 14/1200 = 7/600

F. P(<HS OR >$30K)

OR is usually more complicated. We have 107 who didn't finish high school and 404 more than $30K. We counted the 2 in the box <HS AND >$30K twice, so our total is 107 + 404 - 2 = 509

P(<HS OR >$30K) = 509/1200

User Aleksander Rezen
by
6.8k points