OPTIONAL UIZ 11 The insurance industry uses various factors including age, type of car driven, and driving record to determine an individual's insurance rate. Suppose insurance rates for a sample population are normally distributed. a. If the mean annual cost per person is $829 and the standard deviation is $115, what is the range of rates you would expect the middle 50% of the population to pay annually? b. If 900 people were sampled, how many would you expect to pay more than $1000 annually? c. Drivers with several trafc violations represent the top 8%. What is the minimum payment for these reckless drivers? I hope you are not one of them