1.1.3. Probability Distributions

Try these first

1. 1.

   Define a probability distribution in your own words.

   Hint

   Think about what it tells us regarding outcomes.

2. 2.

   Which distribution is known for its bell shape?

   Hint

   Consider the curve shape observed graphically.

3. 3.

   What is a probability distribution?

   • A list of outcomes
   • A function describing likelihoods
   • A method for data collection

   Hint

   Think about how we represent probabilities.

4. 4.

   True or False: A normal distribution is always skewed.

   • True
   • False

   Hint

   Visualize the shape of the distribution.

5. 5.

   A civil engineer measures the thickness of concrete slabs at a construction site, finding that values follow a normal distribution with a mean of 6 inches and a standard deviation of 0.5 inches. What percentage of slabs will be thicker than 6.5 inches?

   Hint

   Don't forget to apply the Z-score and look it up on a standard normal distribution table!

6. 6.

   In a measuring experiment, a sensor's readings produce standard deviations that consistently result in a systematic error shifting toward higher values. How can neglecting this uncertainty affect structural assessments?

   Hint

   Reflect on what marks 'true' measurements versus misleading readings.