4. Probability
Discrete Distributions — Quiz
Test your understanding of discrete distributions with 5 practice questions.
Practice Questions
Question 1
Which of the following scenarios is best modeled by a binomial distribution?
Question 2
A discrete random variable $X$ has the following probability distribution:
$$P(X=x) = \begin{cases} \frac{x}{10} & \text{for } x = 1, 2, 3, 4 \\ 0 & \text{otherwise} \end{cases}$$
What is the probability that $X$ is greater than or equal to 3?
$$P(X=x) = \begin{cases} \frac{x}{10} & \text{for } x = 1, 2, 3, 4 \\ 0 & \text{otherwise} \end{cases}$$
What is the probability that $X$ is greater than or equal to 3?
Question 3
For a binomial distribution, if the probability of success $p$ is 0.5, what is the shape of the distribution?
Question 4
In a geometric distribution, what is the range of possible values for the random variable $X$ (number of trials until the first success)?
Question 5
A factory produces light bulbs, and 5% of them are defective. If we randomly select light bulbs one by one until we find a defective one, what is the probability that the first defective bulb is found on the 4th attempt?