please solve from part a to o

The following equation is a representation of the sum rule in A. A1A2Am=A1+A2++Am B. A1A2Am=A1A2.... C. A1A2Am=A1A2Am D. A1A2Am=A1+A2++ (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) 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. Wha 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 rolled. What is the expected value of X? A. 3.5 B.7C.5D.4.5 For an unbiased coin, what is the probability of exactly two heads to come up when th tossed four times? A. 3/16 B. 1/4 C. 3/8 D. 1/8 The adjacency matrix for Cn has A. 2n B. n C. n2 D. n(n1) 1's. A proof by mathematical induction has two parts namely and A. simple step, complex step B. P(n) step, P(n+1) step C. basis step, induc D. P(k) step, P(k+1) step If T is a binary tree with 100 vertices, its minimum height is A. 6 B.7C.8D.9 Wn has edges and vertices. A. 4n,n+1 B. 2n,n C. 4n,n D. 2n,n+1 In a multigraph, for an edge {u,v},u=v A. True B. False A loop at a vertex adds 1 to the degree of that vertex. A. True B. False The following equation is a representation of the sum rule in A. A1A2Am=A1+A2++Am B. A1A2Am=A1A2.... C. A1A2Am=A1A2Am D. A1A2Am=A1+A2++ (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) 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. Wha 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 rolled. What is the expected value of X? A. 3.5 B.7C.5D.4.5 For an unbiased coin, what is the probability of exactly two heads to come up when th tossed four times? A. 3/16 B. 1/4 C. 3/8 D. 1/8 The adjacency matrix for Cn has A. 2n B. n C. n2 D. n(n1) 1's. A proof by mathematical induction has two parts namely and A. simple step, complex step B. P(n) step, P(n+1) step C. basis step, induc D. P(k) step, P(k+1) step If T is a binary tree with 100 vertices, its minimum height is A. 6 B.7C.8D.9 Wn has edges and vertices. A. 4n,n+1 B. 2n,n C. 4n,n D. 2n,n+1 In a multigraph, for an edge {u,v},u=v A. True B. False A loop at a vertex adds 1 to the degree of that vertex. A. True B. False