Problem 2.0.2 Of the cars in a used car lot, 50% have engine trouble and 50% have transmission trouble. If 25% have both problems and you buy a car at random, what is the probability that both the engine and transmission are okay? Problem 2.0.3 We know that probability that customer makes a purchase at fortinos is 0.3. If we know that the customers behave independently. What is the probability that the next two customers entering fortinos make purchases. Problem 2.0.4 Probability that Atlanta to Houston flight is on time is 0.85. What is the probability that first two flights will be on time assuming independence ? Problem 2.0.5 Consider the experiment of rolling a die. (a) List the experimental outcomes. (b) Is this random a discrete or continuous sample space? (c) What is the probability of having an even number? (d) What is the probability of having an odd number? (e) What is the probability of getting a 7? (f) What is the probability of the event D= {1,2,3,4,5,6}? Problem 2.0.6 If 23 out of 25 are employed, what is the probability of randomly choosing an unemployed person? Problem 2.0.7 Using the letter A, B,C,D,E,F,G, how many FOUR letters "words" can we form if: 1. We can repeat a letter? 2. We cannot repeat a letter? 3. The word must begin with an A and we cannot repeat a letter? 4. The word must begin with an A or end with A and we cannot repeat a letter? 5. The word must begin with an A or end with A and we can repeat a letter