19.X.2.4. Skewness

Try these first

1. 1.

   What is skewness?

   Hint

   Think about what happens to the shape of the graph.

2. 2.

   If λ = 9, what is the skewness of the Poisson distribution?

   Hint

   Calculate the square root of λ.

3. 3.

   What does skewness measure?

   • Symmetry of distribution
   • Mean of distribution
   • Variance of distribution

   Hint

   Think about the shape of the graph.

4. 4.

   If λ = 1, what is the skewness?

   • True
   • False

   Hint

   Remember the skewness formula for the Poisson distribution.

5. 5.

   A call center receives an average of 20 calls per hour. Calculate the skewness and interpret its significance for staffing.

   Hint

   Use the skewness formula and think about how staffing should match call distribution.

6. 6.

   Given λ = 50, if a company's defect rate is modeled by a Poisson distribution, find the skewness and discuss implications for quality control.

   Hint

   Calculate skewness first, then consider how this affects defect rate management.