4. Probability

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

Which of the following is an example of random selection?

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

Which of the following sample spaces would satisfy the definition of a continuous random variable?

Complete each statement: An event with a probability of $0$ is ____, and an event with a probability of $1$ is ____.

Suppose the cumulative distribution function (CDF) of the random variable $x$ is given by $F\left(x\right)=\{\begin{array}{cc}0& ,x<0\\ \frac{x}{2}& ,0\le x<2\\ 1& ,x\ge 2\end{array}$. What is the probability that $x$ falls in the interval $[1,2)$?

In a survey of all students at a university, it was found that the average GPA is $3.2$. Is the underlined number $3.2$ a statistic or a parameter?

Suppose events E and F are such that $P(E\cap F)$ = $P\left(E\right)$ $\times$ $P\left(F\right)$. Are the events E and F independent or dependent? Justify your answer.

If you flip a fair coin, what is the probability of getting heads? Express your answer as a percentage.

Which of the following best describes the difference between $\mathrm{univariate}$ data and $\mathrm{bivariate}$ data?

If an event has a probability of $\frac{3}{4}$, how likely is it to occur?

Which of the following is not a voluntary response sample?

A bag contains $12$ marbles numbered $1$ to $12$. If a marble is chosen at random, what is the probability that it is either shaded (suppose marbles numbered $2$, $4$, $6$, $8$, $10$, and $12$ are shaded) or is labeled with a multiple of $3$?