14.3.1.2. Probability Distribution Function

Try these first

1. 1.

   Define normal distribution.

   Hint

   Think about the shape of the distribution.

2. 2.

   What is the purpose of the reliability index?

   Hint

   It includes considerations of material strengths.

3. 3.

   What does the normal distribution represent?

   • A) A measure of central tendency
   • B) A type of statistical significance test
   • C) A type of probability distribution

   Hint

   Focus on what type of curve represents data distribution.

4. 4.

   True or False: A reliability index of 3.5 suggests a high probability of failure.

   • True
   • False

   Hint

   Think about how indices reflect safety levels.

5. 5.

   A structural beam is subjected to varying loads following a normal distribution with a mean of 500 N and a standard deviation of 100 N. Determine the probability of failure at 650 N.

   Hint

   Use the z-value to find the cumulative probability.

6. 6.

   You are tasked with improving the reliability index of a bridge currently at 2.5. List at least three specific actions that could increase its reliability.

   Hint

   Consider how design choices can enhance overall safety levels.