1. 2. 3. 4. 5. 6. 7. 8. 9. (10 points) What is < ZS 1.47)? (5 points) Draw a standard normal distribution, labeling numeric values for g, 20, and 30, and then shade in the area in question from problem #1. (You could also choose to use the https://onlinestatbook.com/2/calculators/normal dist.html resource and copy the graph for your answer.) (10 points) What is 0.02)? (5 points) Draw a standard normal distribution, labeling numeric values for g, 20, and 30, and then shade in the area in question from problem #3. (10 points) What is 0.68)? (5 points) Draw a standard normal distribution, labeling numeric values for g, 20, and 30, and then shade in the area in question from problem #5. (15 points) Suppose X is a normal random variable with g = 18 and = 5. What is PIIO X S 24)? Show your work. (15 points) If you have a normal distribution with = 28 and o = 4, what is the probability that a randomly chosen observation would fall between 25 and 30? Show your work. (15 points) If you have a normal distribution with = 150 and 40, what is the probability that a randomly chosen observation would fall between 103 and 172? Show your work. 10. (10 points) Say you have a population of 1 million, in which 900,000 of the members are female and 100,000 are male. Overall you are interested in knowing how many times per year, on average, your population chooses to go fishing. Since you cannot survey all 1 million members, explain how to find a good representative sample of size 100 that will help answer this question about fishing.