Q Please answer each of the following two (2) questions (20 points total). You can copy and paste into the text box or attach a file. 1. Worth up to 10 points: Assume that based on available data, 49% of incarcerated individuals report being unemployed prior to their incarceration. Change this percentage to a proportion and use it as the value of p to complete the following: 1. 1. Using the table format below, compute the binomial probability distribution for a random sample of six prison inmates, with r defined at the number of individuals who were unemployed. 2. Based on the distribution, what is the outcome (number of inmates who were unemployed) you would most expect to see? 3. Based on the distribution, what is the outcome (number of inmates who were unemployed) you would least expect to see? 4. What is the probability that two or fewer of the inmates were unemployed? 5. What is the probability that three or more of the inmates were unemployed? r (N) ( r ) pr qN-r p(r) _________________________________________________________________________________________________________ 2. Worth up to 10 points: Using the following hypothetical exam scores: Exam Grades 89 90 93 67 74 85 100 1. Calculate the mean and the standard deviation (see Chapters 4 and 5). 2. Transform each of the raw scores into z-scores. 3. Using the standard normal distribution (z-table in Appendix B), for each of the z-scores you calculated, find the area between the mean and each z-score.