Topic 3: Probability Distributions

Lesson 3.5: Selecting Models And Linear Combinations Of Random Variables — Quiz

Test your understanding of lesson 3.5: selecting models and linear combinations of random variables with 5 practice questions.

Practice Questions

Question 1

In a binomial distribution, what are the two requirements for a random variable to follow it?

Question 2

Which distribution model is most appropriate for modeling the time until an event occurs?

Question 3

What is the mean of a linear combination of independent random variables $Y = aX + bZ$, where $X$ and $Z$ are independent?

Question 4

If you have a Poisson distribution with a mean rate of 4 events per hour, what is the probability of observing exactly 3 events in one hour?

Question 5

In applying the normal distribution, what assumption must be met regarding the data?