Question

.Fifty students in the fourth grade class listed their hair and eye colors in the table below:


Brown hair Blonde hair Total
Green eyes 16 12 28
Brown eyes 14 8 22
30 20 50


Are the events "green eyes" and "brown hair" independent?
No, P(brown hair) • P(green eyes) ≠ P(brown hair ∩ green eyes

Yes, P(brown hair) • P(green eyes) ≠ P(brown hair ∩ green eyes)

No, P(brown hair) • P(green eyes) = P(brown hair ∩ green eyes)

Yes, P(brown hair) • P(green eyes) = P(brown hair ∩ green eyes

Answer 1

@1lorax2

Answer 2

how do we define independence?

Answer 3

i dont have a clue ;-;

Answer 4

independence is yes, if they are equal; meaning that one has no effect on the other
it is no if they are not equal.

Answer 5

So, im going with a Yes answer?

Answer 6

i dont know if they are equal or not :/

what do you get for the probs?

Answer 7

I Know the chart looked a little hard to read xD

Answer 8

P(BrH) = 30/50
P(GrE) = 28/50
P(BrnGr) = 16/50

do these probs look right?

Answer 9

Yess

Answer 10

then, do they equal, or not equal when used?

Answer 11

Equal?

Answer 12

guessing doesnt count .. another way is to compare rows/cols for equal probability: does 16/28 = 30/50?

\[\frac{30(28)}{50(50)}=\frac{16}{50}\]
\[\frac{30}{50}=\frac{16}{28}\]

Answer 13

Nope, it doesnt.

Answer 14

then id go with no, since they are not equal

Answer 15

Soo, im going with A?

Answer 16

there is no A in the options, but im assuming you mean the first one

Answer 17

Yeah, the first one.

Answer 18

then yeah :)

Answer 19

Thaanks ;o