Probability and Statistics Solutions

This assignment involves solving various probability and statistics problems. The first problem deals with the age and sex of the Australian population in 2017, where we are asked to find probabilities related to male and female populations within specific age ranges. The second problem concerns control limits for a sample, where we need to calculate upper and lower control limits (UCL and LCL) using different methods. Finally, the third problem involves testing a hypothesis about the average distance customers stay from a store, where we are asked to determine whether this average is less than 9 km or not.