m118 Homework 9 (4.4) Name: Please work all problems and show your work. Remember, an answer with no justification is no answer. Based on concepts from Section 4.4 (Bernoulli Experiments - Use Binomial Formula) 1) A fair coin is flipped 5 times, what is the probability of getting at least 1 tail? 2) An unfair coin, with Pr[H] = 0.55, is flipped four times. Find the probability of getting exactly 3 heads. 3) MP3 players are manufactured with a 10% defective rate. If 9 players are selected from the assembly line, find the probability that at least two are defective. 4) A true-false test has 15 questions. A student makes random guesses on each question. What is the probability of getting at least 2 correct answers? 5) A multiple-choice quiz contains 5 questions with 4 choices for each answer. A student passes the quiz if they get at least an 80% on the quiz. If a student guesses on every question, find the probability that she passes the quiz. 6) Milwaukee Bucks small forward, Giannis Antetokounmpo, makes 73% of his free throw attempts. If the trials are independent, what is the probability that he will make at least 14 of 15 free throws attempted? 7) Computer parts are manufactured with a probability of being 20% defective. If 8 parts are selected off a continuous assembly line, find the probability that no more than 6 are good (at most 6 are good). 8) A fair coin is flipped 5 times. What is the probability that more heads appear than tails