A lot of 50 components haves 5 defective components. One of the 50 components is drawn at random on Day 1 and it is employed in Assembly 1. A second component is drawn at random from remaining 49 components on Day 2 and it is employed in Assembly 2. Let F be the event that first component drawn is defective, and S is the event that the second component drawn is defective. (5 pts each)
(a) Find probability P(F).
(b) Find probability P(F and S).
(c) Find probability P(S).
(d) Are events F and S independent? Explain why or why not.