A catalyst researcher states that the diameters, in microns, of the pores in a new product she has made have the exponential distribution with parameter λ = 0.25. a) What is the mean pore diameter? b)...

A catalyst researcher states that the diameters, in microns, of the pores in a new product she has made have the exponential distribution with parameter λ = 0.25. a) What is the mean pore diameter? b) What is the standard deviation of the pore diameters? c) What proportion of the pores are less than 3 microns in diameter? d) What proportion of the pores are greater than 11 microns in diameter? e) What is the median pore diameter? f) What is the third quartile of the pore diameters? g) What is the 99th percentile of the pore diameters?