Question 4 (Distribution Parameters, Special Distributions) An environmental engineer has been contracted to undertake six independent measurements (at different locations) of heavy metal concentrations in a local water supply and has obtained the following raw data: [ i [ 1 [ 2 [ s[4 [0] 2 00 a) Calculate the sample average concentration {.}_L"] and sample standard deviation () of thiz data. (2 marks) b) If it is known that independent measurements X of this water supply follow a Normal distribution with mean of 0.5 g L! and standard deviation of 0.1 g L!, caleulate the probability of observing a value of the sample average greater than the value of X vou obtained in a). {2 marks)