I. Indicate which property of probability is violated by the following statements a. the probability that a customer entering McDonald wiii purchase one Item is 0.63 while the probability that the customer will buy two or more items is -0.47 b. the probability that a student will pass the Introductory course In Statistics is 0.55 whiie the probability of falling is 0.35 c. the probability that a person is sick and will be confined to a hospital as diagnosed by a doctor is 1.01 ci. the probability that a student will honestly guess atrue or false exam correctly is 0.33 while the probability that her guess ls wrong is 0.67 Ii. Venn Diagram: Given the diagrams below, shade the corresponding region. Let Event A - Red circle Event 3 - Green cicrcle Event C - Blue circle EEEEE L14 L11 L11 L11 L11 LAUGBC)c 2.AU(BnC)' 3. A'U(B'n) 4.A'n(B'UC) 5. ACUB'UC' Ill. Problem Solving: 1. Consider the random experiment of drawing two marbles successively without replacement from a bowl containing 2 red marbles. a blue marbie and a green marble. Let Event A - event of drawing 2 marbles with different colors Event B - event of drawing 2 marbles with the same color Event C event of drawing at least one red marble Event 0 - event of drawing green marbie on the 2"\"' draw List down the elements of A U B List down the elements of (A U B) n C Are events 3 and C mutually exclusive? . Which event is more likely to occur? Event A, B, C, or D