Statistics

Weekly AssignmentsIn this assignment, please complete the following questions. Pleaseshow all your work clearly.1. The 1980 US. population, broken down by region and attitudeto legalization of marijuana, roughly turned out as follows:All except East 0 51.8%Is F independent of E?2. Two dice are thrown and we are interested in the followingevents:E: first die is 5F: Total is 7G: Total is 10Is the following a correct verbal conclusion? If not, correct it. “If Iam going to bet on whether the dice show 7, it will help (changethe chances) to peek at the first die to see whether it is a 5, if I amgoing to bet on whether the dice show 10, a peek won’t help.”3. In a family of three children, what is the chance of:(a) At least two girls, given at least one girl?(b) At least two girls, given the first is a girl?