7.2.5. Common Probability Distributions

Try these first

1. 1.

   What is the PDF formula for a Uniform Distribution?

   Hint

   Think about equal probabilities over the interval.

2. 2.

   What is an example application of the Exponential Distribution?

   Hint

   Consider events happening continuously over time.

3. 3.

   What does the PDF of a Uniform Distribution look like?

   • Constant
   • Decreasing
   • Increasing

   Hint

   Remember, it's all about equal chances across intervals.

4. 4.

   The Normal Distribution is symmetric about which parameter?

   Hint

   Think of the balance point of the distribution.

5. 5.

   A continuous random variable X is uniformly distributed between 10 and 20. Calculate the probability of X being less than 15.

   Hint

   Remember to set up the uniform PDF formula.

6. 6.

   Given that the lifetime of a light bulb follows an Exponential Distribution with λ = 0.01, what is the probability that a bulb lasts more than 100 hours?

   Hint

   Use the complementary probability concept for Exponential Distribution.