please solve all parts of the question

Every function is a relation. A. True Mathematical Induction technique can be stated as: (P(1)k(P(k)P(k+1)))nP(n) A. True B. False B. False The following equation is a representation of the sum rule in set theory. A.A1A2Am=A1+A2++AmB.A1A2Am=A1A2Am C. A1A2Am=A1A2Am (ab)4 is a binomial expression A. True B. False Probability of an event that will never happen is 0 A. True B. False For an unbiased dice, the probability that the outcome of throwing the dice twice is (5,5) equals 1/25. A. True B. False Performance of an experiment with two possible outcomes is called a Bernoulli trial. A. True B. False A dice is biased so that the number 5 appears twice as often as each other number. What is the probabilities that the outcome is 3 ? A. 1/6 B. 2/6 C. 1/7 D. 2/7 Let X be a random variable equal to the sum of the numbers that appear when two fair dice are rolled. What is the expected value of X ? A. 3.5 B. 7 C. 5 D. 4.5 For an unbiased coin, what is the probability of exactly two heads to come up when the coin is tossed four times? A. 3/16 B.1/4C.3/8D.1/8 The adjacency matrix for Cn has A. 2n B. n C. n2 D. n(n1) A proof by mathematical induction has two parts namely A. simple step, complex step B. P(n) step, P(n+1) step and D. P(k) step, P(k+1) step If T is a binary tree with 100 vertices, its minimum height is A. 6 B. 7 C. 8 D. 9 Wn has A. 4n,n+1 edges and A. True B. False A loop at a vertex adds 1 to the degree of that vertex. A. True B. False