Researchers have discovered that the maximum flood level (in millions of cubic feet per second) over a 4-year period for the Susquehanna River at Harrisburg, Pennsylvania, follows approximately a gamma distribution with α = 3 and β = .07 (Journal of Quality Technology, Jan.  986).
a. Find the mean and variance of the maximum flood level over a 4-year period for the Susquehanna River. 

b. The researchers arrived at their conclusions about the maximum flood level distribution by observing maximum flood levels over 4-year periods, beginning in 1890. Suppose that over the next 4-year period the maximum flood level was observed to be .60 million cubic feet per second. Would you expect to observe a value this high from a gamma distribution with α = 3 and β = .07 ? What can you infer about the maximum flood level distribution for the 4-year period observed?