8) For Robin's summer job she is working at quality control at a Chocolate factory, where she randomly selects one chocolate and checks it and then continues. The production lot has a 15% defective rate. a) What is the probability that out of 30 samples Robin will nd exactly 4 defective parts [A/2] b) What is the probability that out of 30 samples there are 6 to 8 defective parts? [A/4] c) What is the minimum number of samples Robin needs to use Normal approximation? [T/2] d) What is the probability that in 200 samples, there are more than 25 defectives parts? [AB] 9) A spinner has 5 equal sectors, numbered 1- 5. a) Create a Probability Distribution for a single spin. [A/2] b) What is the expected outcome? [N2] 10) In a neighborhood of 80 homes, 30 have pets. Suppose that 12 home are selected at random. The random variable X represents the number of homes in the sample that have pets. a) What is the likelihood that exactly half of the homes have pets? [A/ 1, C/ 1] b) What is the likelihood that no more than 2 homes have pets? [A/2, T/ 1]