Calculate p(x is odd) in each setting below. show your calculation or explain your answer for each part. (a) x ∼ geometric(0.7). your final answer should be a number. (b) x ∼ binomial(101, 0.5). your final answer should be a number. (c) first let y ∼ n(0,1) (a standard normal random variable), and then let x be the answer you get when you round y to the nearest integer. your answer does not need to be simplified to a number—you can write it with summations/fractions/integrals etc as needed. however, your final answer cannot have any probability type notation in it, e. g. it cannot include terms like px (3) or fy (1) or p (x ≤ 1) etc.