Mean (E(x)) = np St. dev = (1 ) Given the number of trials and the probability of success, find the mean, standard deviation 1. n =12, p = 0.2 2. n = 20, p = 0.5 In addition, find the indicated probabilities 3. n =11, p = 0.05, find P(3 failures) 4. n = 6, p = 0.35, find P(at least 3 successes) 5. A basketball player has a 60% chance of making each free throw. What is the probability that the player makes exactly three out of six free throws? 6. The manufacturing sector contributes 17% of Canada's gross domestic product. A customer orders 50 components from a factory that has a 99% quality production rate (99% of the products are defect-free). Find the probability that: a) none of the components in the order are defective b) there is at least one defective product in the order. c) There are at least two defective products in the order. d) Expected number of defective parts. 7. Approximately 3% of the eggs in a store are cracked. If you buy two dozen eggs, what is the probability that a) none of your eggs are cracked b) at least one