18. Partial Differential Equations

Try these first

1. 1.

   What does the Binomial Distribution model?

   Hint

   Think about success and failure outcomes.

2. 2.

   Define Probability Mass Function.

   Hint

   Contains two variables k and n.

3. 3.

   What does the Binomial Distribution calculate?

   • Probability of multiple events
   • Probability of a single event
   • Probability of successes in trials

   Hint

   Focus on the definition.

4. 4.

   True or False: Each trial in a Binomial Distribution must be dependent.

   • True
   • False

   Hint

   Recall the assumptions discussed.

5. 5.

   In a basketball game, a player has a success rate of 75% for free throws. What is the probability of making exactly 5 out of 8 attempts?

   Hint

   Remember to calculate the binomial coefficient.

6. 6.

   A biased die shows a '6' 60% of the time. What is the probability of rolling three sixes in five rolls?

   Hint

   Count the combinations where three sixes can happen.