12. Partial Differential Equations

Try these first

1. 1.

   What is the PMF for a fair coin toss?

   Hint

   Think about the two possible outcomes.

2. 2.

   List a situation involving a discrete random variable.

   Hint

   Focus on countable outcomes.

3. 3.

   What does PMF represent?

   • The probability of a continuous variable
   • The probability of a discrete variable
   • None of the above

   Hint

   Remember what kind of variables PMF applies to.

4. 4.

   True or False: The total probability of a valid PMF must equal 0.

   • True
   • False

   Hint

   Think about the concept of probability.

5. 5.

   Suppose you conduct an experiment where you toss a fair coin twice. Determine the PMF for the total number of heads observed.

   Hint

   Consider all combinations of heads and tails.

6. 6.

   A customer service center observes the number of calls received per hour follows a Poisson distribution with a mean of 3. Determine the PMF for receiving 0, 1, 2, and 3 calls.

   Hint

   Use the Poisson formula for calculations.