Question 1167973
average car costs 23,000 with a standard deviation of 3500.
price of cars is normally distributed.


calculator used was omni calculator found at <a href = "https://www.omnicalculator.com/statistics/normal-distribution" target = "_blank">https://www.omnicalculator.com/statistics/normal-distribution</a>


1. percentage of cars costing 16000 or more is 97.725%.


<img src = "http://theo.x10hosting.com/2020/102407.jpg" >


inputs to calculator were mean = 23000, standard deviation = 3500, X = 16000.


output from the calculator was p(x>X) = .97725


2. percentage of cars costing between 12000 and 30000 = 97.64%


<img src = "http://theo.x10hosting.com/2020/102408.jpg" >


inpus to the calculator were mean = 23000, standard deviation = 3500, X = 12000, X2 = 30000.


output from the calculator was p(X < x < X2) = .976413.


the calculator shows the rate or ratio or the proportion, however you want to call it.


the percentage is 100 times that.


the z-score of X and X2 are also shown.