Question

12. a) Find the expected value E(CX) for the probability distribution: -2 0.3 0.5 0.2 You are playing a coin-tossing game with a weighted coin, where P(H)"%, If you get a head, you win SI and if you get a tail, you pay S1.b) Would you put in (ante) $1.25 to start the game? b) c) A binomial distribution for the random variable X, consists of 1000 trials, where p(success)- 0.75. What is ECX)? c) Extra Credit My sock drawer contains 8 black, 6 brown and 4 blue socks. I reach in the drawer and pick out two socks. What is the probability that I got a matching pair of socks? 1 1) 2). How many distinct paths are there from cormer A 3. to corner B by going either UP, or RIGHT or BACK? 3 a) Disprove the following statement: b1 1 b) Prove the following statement: The sum of three consecutive integers is divisible by 3 4. a) Let A and B be two sets where AnB=A. Is AcB or is BcA or neither of these two b) Let A and B be two sets where AUB-A Is AcB or is BcA or neither of these two b)

Answer 1

Q) £(X)- 0.5 C) n-1000 j P(Success)- 0.75 : 1000x0.75 re 18C2 1549.-o 3203 153 153 3) lg)here 5 7 3 5 3 0.2く0.33 11, 12,13 sum of these thee numbers 1112+ 13