4. Probability

Suppose the probability density function is given by $f\left(x\right)=\frac{1}{2}$ for $0\le x\le 2$ and $f\left(x\right)=0$ otherwise. What is the probability that $x$ is between $1$ and $3$?

In the context of probability, what is the sample space when rolling a standard $6$-sided die?

ESP A psychologist tells you that in an ESP (extrasensory perception) experiment, there is a 20% chance of answering a question correctly. What is the probability of answering a question correctly?

Which characteristic must be known about a data set before the empirical rule can be applied?

If a bag contains only blue and red marbles, and the probability of picking a blue marble is $\frac{3}{25}$, what is the probability of picking a red marble?

In the context of probability experiments, which of the following best describes an $independent$ variable?

Which of the following statements best describes a probability distribution?

Which measurement level best describes the variable $\text{temperature measured in degrees Celsius}$?

Which of the following can be reasonably modeled by a $normaldistribution$?

Identifying the Sample Space of a Probability Experiment In Exercises 25-32, identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Draw a tree diagram when appropriate.

28. Identifying a person's eye color (brown, blue, green, hazel, gray, other) and hair color (black, brown, blonde, red, other).

$\text{Which of the following is an example of nominal data?}$

Which of the following is a property of a probability density function ($pdf$)?

Which of the following is the primary reason for transforming a set of raw scores into a set of $z$-scores?

Which of the following values can represent the probability of an event?

Which of the following is an example of inferential statistics?