A factory has two machines, A and B. Machine A produces 60% of the total items, while machine B produces the remaining 40%. Of the items produced, 4% from machine A are defective and 5% from machine B are defective. Let E be the event that an item chosen at random is produced by machine A, and F be the event that the item is defective.
a. (i) Calculate P(E∩F).
b. (ii) Determine whether the events E and F are independent.