Score: 3/10 3/10 answered Question 7 K A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 26 weeks. Assume that the length of unemployment is normally distributed with population mean of 26 weeks and the population standard deviation of 2 weeks. Suppose you would like to select a random sample of 10 unemployed individuals for a follow-up study. Round the answers of following questions to 4 decimal places. a. What is the distribution of X? X ~ N b. What is the distribution of x? x ~ N c. What is the probability that one randomly selected individual found the next job is more than 27 weeks? d. For 10 unemployed individuals, find the probability that the average time that they found the next job is more than 27 weeks. e. For part d), is the assumption of normal necessary? O Yes No