Example: : A computer is shipped with several identical parts.
A company that assembles computers is interested in the distribution
of the number of parts required. The computer
has at least one of the part and no more than 6. A production
supervisor estimates that most computers require two parts.
The only information we have is the range of the random variable
and its mode (the most likely number). A reasonable estimate
for the distribution of parts is the triangular distribution.
The distribution is computed at the left. The addin has computed
the slopes that are shown as the first and last values of the
distribution.
d=0.143 and e=0.057.
The mean and variance of this distribution are
respectively 3 and 2. The nonzero digits shown as the least
significant digits on the figure are due to numerical error.
