Question

Male Female Total
Income over $55,000 475 375 850
Income below $55,000 75 75 150
Total 550 450 1,000

Based on these data, are "being male" and "earning over $55,000" independent events?
No, P(being male | the person earns over $55,000) ≠ P(being male)

No, P(being male | the person earns over $55,000) = P(being male)

Yes, P(being male | the person earns over $55,000) = P(being male)

Yes, P(being male | the person earns over $55,000) ≠ P(being male)

Answer 1

@amistre64 @rational

Answer 2

is it B?

Answer 3

A. No, P(being male...

Answer 4

why?

Answer 5

@_Smile_

Answer 6

compute the probability P(being male | the person earns over $55,000) and the probability P(male)

Answer 7

P(being male | the person earns over $55,000) = x/y

x = number of males who earn over $55,000
y = number of people who earn over $55,000

Answer 8

P(male) = z/w

z = number of males
w = number of people total

Answer 9

Rule:

Let A and B be two events. They are said to be independent if and only if

P(A|B) = P(A)
or
P(B|A) = P(B)

otherwise, they are dependent

Answer 10

if the probability of being male is the same regardless of the event that takes place, then the probability is independant of any given event.

Answer 11

I tagged you in something DoShKa_SyRiA

Answer 12

if the probability of male, given the event over$55

is the same as the probability of male, given the totality of events

then the probability of male does not depend on a specific event.

Answer 13

so 550/850 ?

Answer 14

475 out of 850

is not the same as

550 out of 1000

so we know they are not

Answer 15

Male Female Total
Income over $55,000 475 375 850
Income below $55,000 75 75 150
Total 550 450 1,000


Male Female Total
Income over $55,000 475 375 850
Totality of events 550 450 1,000



Male Total
Income over $55,000 475 850
Totality of events 550 1,000

Answer 16

The probability of picking a male, changes depending on the event we are describing.

why??

Answer 17

because of being male or female?

Answer 18

no, it is becasue the tabled data gives us different probabilites for pick a man based on different events.

the P(man) depends on the even we are confided to.

P(man| over 55) = 475/850

P(man| all events) = 550/1000

since the probability of picking a man changes with the events, then it depends on which event we are concerned with.

Answer 19

so P(being male | the person earns over $55,000) ≠ P(being male) .. correct?

Answer 20

they are not equal, so the events are dependant

lets do something simpler same setup but with independant stuff.

m f
55+ 3 7 10
55- 27 63 90
30 70 100


P(m|55+) = 3/10

P(m|55-) = 27/90

P(m|all events) = 30/100


all three cases give us the same exact probability ... therefore the P(m) does not depend on any given event

Answer 21

so A is correct?

Answer 22

lol, yeah, if thats what we are taking from this

A is fine

Answer 23

yea just wanted to make sure .. thanks a lot for your patient