a. Define the following: i. Mutually exclusive events (Give an example) ii. Stratified random sampling b. In a certain game in which winning and losing are the only outcomes, the probability of a player of a winning is 1/3. Given that the game is played 6 times. Calculate : i. The probability that the player has exactly 1 win. ii. The probability that the player has at least 2 wins. iii. The expected number of wins. C. It has been observed that the average number of accidents that occur on an assembly line is 3 per week. Find the probability that: i. A particular week will be accident free. ii. At least three (3) accidents will occur in a week. iii. Exactly five (5) accidents will occur in two week A multiple choice quiz has 10 questions. Each question has 5 possible answers of which only one is correct. i. What is the probability of selecting a correct answer? ii. Determine the probability that if a student guesses he/she will get: 1. Exactly two (2) correct answers? 2. At least three (3) correct answers? Let X be a random variable with a mean of 50 and a variance of 64. Find: i. P(x 5 52) ii. P(35