Each time you flip a certain coin, heads appears with probability p. suppose that you flip the coin a random number n of times, where n has the poisson distribution with parameter λ and is independent of the outcomes of the flips. find the distributions of the numbers x and y of resulting heads and tails, respectively, and show that x and y are independent.

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem