Complete the following probability distribution table and then calculate the stated probabilities. Outcome Probability (a) P({a, c, e}) P({a, c, e}) = 0.9 (b) P(EUF), where E = P(EU F) = a b с 0.2 0.04 0.4 0.06 (c) P(E'), where E is as in part (b) P(E') = {a, c, e} and F = {b, c, e} (d) P(En F), where E and F are as in part (b) P(En F) = e 0.3

Five people (Alex, Byron, Chloe, Dexter, and Emily) form a club, N = {A, B, C, D, E). Chloe and Emily are women, and the others are men. If they choose a president randomly, find the odds against Emily becoming president. The odds against Emily becoming president are to (Type whole numbers.)

For a large population of people, the probability distribution for the random variable X = the number of meals a person ate yesterday and the assigned probabilities is given below: Meals, X Probability (a) Find P(X= 5), the probability that a randomly selected person ate 5 meals yesterday. P(X= 5) = 1 3 4 5 0.17 0.35 0.24 0.17 ? (b) Find P(X ≤ 2), the probability that a randomly selected person ate 2 or fewer meals yesterday. P(X ≤ 2) = (c) Find the probability that a randomly selected person ate 1 meal or ate 5 meals yesterday. P = (d) Find P(X > 1), the probability that a randomly selected person ate more than 1 meal yesterday. P(X > 1) =

A) Complete the Table x P(X = x) x · P(X = x) 0 0.3   1 0.4   2     3 0.2     B) Find the probability that X = 2. C) Find the expected value