14.4. Conditional Distributions

Try these first

1. 1.

   What is the formula for calculating conditional PMF?

   Hint

   Think back to how joint probabilities work.

2. 2.

   Define conditional PDF in your own words.

   Hint

   Remember the notation f_{X|Y}(x | y)?

3. 3.

   What is the primary purpose of conditional distributions?

   • To understand relationships between variables
   • To analyze individual random variables
   • To compute joint probabilities

   Hint

   Think about how they relate to dependencies.

4. 4.

   True or False: Conditional distributions are only applicable to discrete random variables.

   • True
   • False

   Hint

   Review examples involving continuous variables.

5. 5.

   Given a joint PDF for two variables, X and Y, calculate the conditional PDF for X when Y = a specific value. Include the integration limits.

   Hint

   Focus on the marginal for Y first.

6. 6.

   In a real-world study, if the conditional probabilities of weather affecting coffee sales is given, how would you approach analyzing this statistically?

   Hint

   Focus on gathering relevant joint probability information.