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Lesson 9 · In-Class Fill-In

Example 1: Shape Parameter m (fill in the table)

An in-class activity from the course slides — reproduced here so you can find it again after class.

📋 What to do

Slide for Example 1: Shape Parameter m (fill in the table)
  1. A population of capacitors is known to fail according to a Weibull distribution with characteristic life c=20,000 power-on hours.
  2. Evaluate the probability a new capacitor will fail by 100, 1000, 20,000, and 30, 000 hr, for cases of shape parameter m=0.5, 1.0, and 2.0.
  3. Also calculate failure rates.
  4. Fill in the answer table in class: rows for times 100, 1,000, 20,000 and 30,000; columns for CDF in % and Failure Rate in %/K at m = 0.5, 1.0 and 2.0.
  5. Reminder: F(t) = 1 - e^-(t/c)^m, where c = 1/λ is the characteristic life and m is the shape parameter.

📮 Submit

Filled in together in class, then answered as a pop quiz that opens on Canvas during class (1 pt) — graded on accuracy. It appears in this week’s module on Canvas once your instructor opens it.

Note: this page carries the live text of the activity, including the links to slides and shared materials; check back here if something looks out of date. Hand your work in on Canvas, which also carries the due date and your grade.