ASSESSMENT NO. 2 WRITE YOUR ANSWERS ON A SHORT BOND PAPER. WRITE LEGIBLY AND AVOID ERASURES. 1. The numbers of computers sold per day at a local computer store, along with its corresponding probabilities, is shown in the table. Find the variance and standard deviation. Number of Computers Sold X Probability P (X) 0 0.1 0.2 2 0.3 3 0.2 0.2 2. The probabilities of a machine manufacturing 0, 1, 2, 3, 4, or 5 defective parts in one day are 0.75, 0.17, 0.04, 0.025, 0.01, and 0.005, respectively. Find the variance and standard deviation. 3. Find the variance and standard deviation of each probability distribution. X 0 2 3 P(x) 0.10 0.45 0.25 0.20 b. x 0 2 3 4 5 P(x) 0.123 0.134 0.211 0.321 0.140 0.071 4. Jac tosses an unbiased coin. If the coin lands with head up on each toss, he wins Php50. However, if it lands with tail up, he loses Php60. If he continues to play the game, how much can he expect to win or lose? 5. You are in a carnival and you saw a game. The rule says that the outcome in the game is a random variable from 1 to 14 and if the outcome is even, you win Php50. If the outcome is odd, you win nothing. If you play the game, what is the expected gain if there is any