Lesson 28: Geometric Distributions Name: Period: Term Definition (your own words) Examples Geometric Random Variable Use the proper probability notation and if you are using technology identify the function and label the inputs. 1. A bag contains 10 red balls and 20 white balls. A ball is randomly chosen and replaced until a red ball is selected. (a) Determine if this setting is geometric. (b) Calculate the probability of selecting exactly 5 balls before you get your first red ball. (c) Calculate the probability of selecting less than 7 balls before you get your first red ball. (d) Calculate the probability of selecting more than 6 balls before you get your first red ball. (e) Calculate the mean and standard deviation. Interpret in context. This study source was downloaded by 100000862746341 from CourseHero.com on 02-23-2023 08:32:46 GMT -06:00 StatsWithHogan@2019 Lesson 28 Assignment-1 https/www.coursehero.com/file/82951293/Lesson-28-Assignment-pdf/2. Mark D's batting average is .309. Assume every at bat is independent. Record when Mark gets his first hit. (a) Determine if this setting is geometric. (b) What is the probability that Mark will get his first base hit on his second attempt? (c) What is the probability that it will take Mark at least 3 at bats before he gets his first hit? (d) What is the probability that it will take him less than 3 attempts before he gets his first hit? (e) Calculate the mean and standard deviation. Interpret in context. This study source was downloaded by 100000862746341 from CourseHero.com on 02-23-2023 08:32:46 GMT -06:00 StatsWithHogan@2019 Lesson 28 Assignment-2 https/www.coursehero.com/file/82951293/Lesson-28-Assignment-pdf/