please answer question 2 and 3

2. The payoff (X) for buying a $1 lottery ticket has the following probability distribution. Payoff Probability X=Win $100 0.1% X= = Lose SO 99,9% $ 1 0. 01% What is the expected value of X? OWN- 10 4. $100 $ 100 - > 0.1% 100 $1 A. $50 B. $10 $1 -7 0.1 x 1 = 0. 01% 100 C. $1 D. $0.1 E. $0.01 3. A private educational advisor has guaranteed that any high school student who is taught by him well have a 90% chance of entering the prestigious National University. Two high school students are currently being taught by the advisor. Assuming each student's results are independent what is the probability that at least one of them will be successful in entering the National University? A. 0.5 B. 0.65 C. 0.88 D. 0.9 E. 0.99 4. .Peter walks south for 20 m, turns right and walks another 10 m. He then turns left and walks slowly for 10 m. Then he turns right, and runs 20m and stops. In which direction is he with respect to his initial position? A. South-East B. North-East C. North-West D. South-West E. South What is the next number in the series: 42, 41, 39, 36, 35, 33...? A. 32 B. 31 C. 30 29 28