The operating life of a certain fishing reel is normally distributed with the mean 48 months and standard deviation 6 months.

a) Graph this distribution

b) What is the total area enclosed by the graph?

c) What number of months corresponds to two standard deviations below the mean?

d) The operating life of 50% of all reels is below what number?

e) Shade in the area that corresponds to p(38 < x < 46)

f) Compute the probability in part e

g) Find the probability that a reel lasts less than 50 months