Question

The probability that a given urine sample analyzed in a pathology lab contains protein is 0.73 (event A). The probability that the urine sample contains the protein albumin is 0.58 (event B). The probability that a sample contains protein, given that albumin is detected, is 1.
Which statement is true?

Answer 1

Events A and B are dependent because P(A|B) = P(A).
Events A and B are dependent because P(A| B) P(B).
Events A and B are dependent because P(A|B) = P(A) + P(B).
Events A and B are dependent because P(A| B) P(A).
Events A and B are dependent because P(A|B) = P(A).

Answer 2

how do we define dependence? or rather independence?

Answer 3

if P(A|B) = P(A|C) = P(A|D) = ... = P(A|N)

then the value of P(A) does not depend on the even in which it is occuring.

Answer 4

**on the event .....

Answer 5

if there is not an equality, then the probability of A is NOT the same for all given events, and therefore it depends on which event A takes place in.

dependence is therefore attributed to an inequality of the probability of A, among the events in which A occurs.

Answer 6

Are the blank spaces in the second and fourth answers, that n looking symbol and a (not equal) sign?