A random variable X is said to follow a lognormal distribution if Y = log(X) follows a n...

A random variable X is said to follow a lognormal distribution if Y = log(X) follows a normal distribution. The lognormal is sometimes used as a model for heavy-tailed skewed distributions.

a. Calculate the density function of the lognormal distribution.

b. Examine whether the lognormal roughly fits the following data (Robson 1929), which are the dorsal lengths in millimeters of taxonomically distinct octopods.