Question

Determine if the events are independent or dependent.

P(A) = 0.37
P(B) = 0.28
P(A and B) = 0.1036
A) Independent
B) Dependent
C) Not enough information
D) Neither

Answer 1

Two events, A and B, are independent if the knowledge that one occurred does not affect the chance that the other occurs. In this case, events A and B are found to be independent.

Step-by-step explanation:

Two events, A and B, are independent if the knowledge that one occurred does not affect the chance that the other occurs. In this case, event A has a probability of 0.37 and event B has a probability of 0.28. The probability of both A and B happening together, P(A and B), is given as 0.1036. To determine if the events are independent or dependent, we check if P(A and B) is equal to the product of P(A) and P(B). If they are equal, the events are independent. If they are not equal, the events are dependent.

Let's calculate P(A) * P(B) = (0.37)(0.28) = 0.1036. Since P(A and B) is equal to the product of P(A) and P(B), we can conclude that the events A and B are independent.