select the correct answer. you have two events a and b such that p(a|b) = 0.4 and p(a) = 0.4. based on this…

select the correct answer. you have two events a and b such that p(a|b) = 0.4 and p(a) = 0.4. based on this information, what can you conclude? a. event a is not dependent on event b. b. event a is dependent on event b. c. event b is dependent on event a. d. events a and b are dependent on each other. e. it is not possible to determine if the events are independent.

select the correct answer. you have two events a and b such that p(a|b) = 0.4 and p(a) = 0.4. based on this information, what can you conclude? a. event a is not dependent on event b. b. event a is dependent on event b. c. event b is dependent on event a. d. events a and b are dependent on each other. e. it is not possible to determine if the events are independent.

Answer

Explanation:

Step1: Recall independence formula

Two events (A) and (B) are independent if (P(A|B)=P(A)).

Step2: Analyze given probabilities

We are given that (P(A|B) = 0.4) and (P(A)=0.4). Since (P(A|B)=P(A)), events (A) and (B) satisfy the condition for independence of events. This means that the occurrence of event (B) does not affect the probability of event (A).

Answer:

A. Event A is not dependent on Event B.