1.1.4. Random Variables and Uncertainty

Try these first

1. 1.

   What is a random variable?

   Hint

   Think of examples in real life where measurements change.

2. 2.

   Define uncertainty in the context of measurements.

   Hint

   Consider factors that affect the accuracy of measurements.

3. 3.

   What is a random variable?

   • A fixed value
   • A numerical outcome depending on probability
   • An irrelevant measurement

   Hint

   Consider how values change in different scenarios.

4. 4.

   True or False: Uncertainty indicates that a measurement is entirely inaccurate.

   • True
   • False

   Hint

   Think about the difference between many readings and a single flawed one.

5. 5.

   You are monitoring strain in a new bridge. Given the following strain readings: 2, 3, 3, 1, 10, 2, considering the IQR method, identify if any data points are outliers.

   Hint

   Find the quartiles and calculate the IQR.

6. 6.

   An experimental torque measurement shows a range from 15 to 100 Nm with an average of 57.5 Nm. The standard deviation is 20 Nm. Discuss the implications of uncertainty in operational decisions.

   Hint

   Consider how variability affects safety and reliability.