Finite Mathematics 1. What is the difference between an expected value and a mean? 2. A couple has two children and the older child is a boy. If the probabilities of having a boy or a girl are both equal, what is the probability that the couple has two boys? 3. Suppose that an event A has a probability 0:4. Suppose moreover that P(B|A) = 0:3 and P(B|A') = 6. In the next two problems compute the given probabilities. a. b. P(A' B). P(AB). 4. Give an example of random variable and an example of a non-random variable. 5. A box with 10 flashbulbs contains 3 defective ones. A random sample of two is selected and tested. Let X be the random variable associated with the number of defective bulbs. Find the probability distribution of X. 6. Describe when a given distribution is a probability distribution. 7. You draw and keep a single coin from a bowl that contains 12 pennies, 9 dimes, and 20 quarters. What is the expected value to you