Question

STATISTICS (Is this event: independent, disjoint or dependent)?
3.
A = {you are not at home when they call at 11AM}
B = {you are employed full time outside the home}


- not independent
- knowing whether person works outside home has an impact on whether they will be home at 11am, b/c if they do work outside full time, then they cannot be at home at 11am

Answer 1

The answer are the - points, but I do not understand why.

Answer 2

the events A and B are related

Answer 3

A does not imply B, nor does B imply A

there might exist a small degree of correlation between A and B, but not a significant one

Answer 4

pfft, maybe B implys A :)

Answer 5

but if you have the night shift, then at work at 11am is not a gaurentee

Answer 6

im sure the correlation is significant

Answer 7

working full time outside the home is not a guarentee that you are working at 11am.

Answer 8

its no strict dependency ,
but the even are not Independent

Answer 9

events*

Answer 10

But how do you know that these two events are not disjoint?

Answer 11

@UnkleRhaukus

Answer 12

disjoint is defined as: P(AnB) = 0

but there is a chance that A and B overlap ... and therefore "disjoint" is not correct

Answer 13

suppose they work nights

Answer 14

i would imagine these events are dependent, simply because isomeone who has a full time job outside the house is out of the house for at least 8 hours of the day, and therefore this increases the probability that they will not be home at 11

Answer 15

So it is possible that you are not at home at 11AM AND you have work full time.

Answer 16

it is possible yes

Answer 17

not only possible, i would say even likely

Answer 18

So to check for disjointedness, you have to ask yourself: is it possible for both the events to happen at the same time.

Answer 19

To check for independence, you have to ask yourself: does knowing this event happened affect the probability of event B happening?

Answer 20

If so, then dependent. If not, then independent.