The Weibull function

f(t)=(t)1e(t)

is known to model "time to failure." Furthermore, it is also well known that:

• A value of beta < 1 indicates that the failure rate decreases over time. Generally, this happens if there is significant "infant mortality."
• A value of beta > 1 indicates that the failure rate increases with time. This happens if with parts that are more likely to fail as time goes on, e.g., wear out.

Keeping in mind that the values on the Y-axis represent the cumulative probability, explain how the results from your example graph do indeed agree with the case (I) general description above about the failure rate decreasing with time.