4. Probability

Which of the following best illustrates the definition of a probability distribution?

In probability theory, what is the main difference between an $\mathrm{outcome}$ and an $\mathrm{event}$?

Which of the following statements about probability is not true?

In probability theory, what is the main difference between an $\mathrm{outcome}$ and an $\mathrm{event}$?

Which of the following best describes the difference between $\mathrm{relative} \mathrm{frequency}$ and $\mathrm{cumulative} \mathrm{frequency}$ in probability?

In a three-server queueing model where arrivals follow a Poisson process with rate $\lambda$ and service times are exponentially distributed with rate $\mu$ per server, what is the probability that there is exactly $1$ customer in the system at steady state?

Which of the following is an example of inferential statistics?

The accuracy of a poll is limited by its $\mathrm{\_\_\_\_\_}$.

If $11$ out of $20$ students in a class passed an exam, what is the probability that a randomly selected student from this class passed the exam? Express your answer as a simplified fraction.

Which of the following examples best represents a simple random sample?

Which of the following best describes a confounding variable in the context of probability and statistics?

In the context of basic probability and statistics, which type of monitoring methodology is designed to detect statistical deviations from a baseline?

Which of the following statements is true about the independence of events $a$ and $b$?

Which of the following is a property of the $S\text{'}t$-distribution?