Practice Common Probability Distributions (7.2.5) - Probability Distribution Function (PDF)

Practice: Common Probability Distributions

Lesson 7.2.5Probability Distribution Function (PDF)

Practise this section

9 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is the PDF formula for a Uniform Distribution?
Show hintHide hint
Think about equal probabilities over the interval.
Question 2.
What is an example application of the Exponential Distribution?
Show hintHide hint
Consider events happening continuously over time.
3Question 3.
What does the PDF of a Uniform Distribution look like?
- Constant
- Decreasing
- Increasing
Show hintHide hint
Remember, it's all about equal chances across intervals.
4Question 4.
The Normal Distribution is symmetric about which parameter?
Show hintHide hint
Think of the balance point of the distribution.
Question 5.
A continuous random variable X is uniformly distributed between 10 and 20. Calculate the probability of X being less than 15.
Show hintHide hint
Remember to set up the uniform PDF formula.
Question 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?
Show hintHide hint
Use the complementary probability concept for Exponential Distribution.

5 more questions in this section. Enroll free to practise them all.