The Weibull function f(t)=(t)1e(t) is known to model "time to failure." Furthermore, it is also well known that:

(I) A value of beta < 1 indicates that the failure rate decreases over time. Generally, this happens if there is significant "infant mortality."

Part 1 -- Chose specific values for both parameters to illustrate case (I), and then graph your function on the usual X/Y plane (or in this case the T/Y plane). You may draw a rough sketch by hand by just computing manually a few function values by inputting a few values of t, such as t=0 then t=1 then t=2, etc OR you may use any technology resources and/or online program to construct the graph.