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