4. Statistics and Probability

Discrete Distributions — Quiz

Test your understanding of discrete distributions with 5 practice questions.

Practice Questions

Question 1

What is the expected value of a discrete random variable with the following probability distribution: P(X=0)=0.2, P(X=1)=0.5, P(X=2)=0.3?

Question 2

In a binomial distribution, if the probability of success is 0.4 and the number of trials is 5, what is the probability of getting exactly 2 successes?

Question 3

What is the variance of a discrete random variable with the following probability distribution: P(X=1)=0.1, P(X=2)=0.3, P(X=3)=0.4, P(X=4)=0.2?

Question 4

If a random variable follows a geometric distribution with a probability of success of 0.25, what is the expected number of trials until the first success?

Question 5

A factory produces light bulbs, and it is known that 5% of the bulbs are defective. If a quality control inspector randomly selects 10 bulbs, what is the probability that at most 2 are defective?