28.3. Distributions of Random Variables

Try these first

1. 1.

   What is a uniform distribution?

   Hint

   Think of a scenario where all outcomes have the same chance.

2. 2.

   Describe a normal distribution.

   Hint

   What does the graph of a test score distribution look like?

3. 3.

   Which distribution indicates all values within a range are equally likely?

   • Normal Distribution
   • Uniform Distribution
   • Lognormal Distribution

   Hint

   Think about a scenario where no value is preferred over another.

4. 4.

   True or False? The normal distribution curve is symmetric around the mean.

   • True
   • False

   Hint

   Visualize the bell shape.

5. 5.

   Design an experiment to test the hypothesis that a new material's strength follows a lognormal distribution. Define parameters and expected outcomes.

   Hint

   Consider what shape your data might take and how to visualize it.

6. 6.

   Given two structural materials' strengths, model their interaction using a bi-normal distribution and describe potential construction implications.

   Hint

   Explore how each material's behavior contributes to safety margins.