4. Probability

Given the following table, does it represent a valid discrete probability distribution? x: $1$ $2$ $3$ $4$ P(x): $0.2$ $0.3$ $0.4$ $0.1$

Which of the following is an example of a variable measured on the $nominal$ scale?

Which of the following is a property of a $randomvariable$?

Which of the following is the most widely used continuous probability distribution? The $—$ distribution.

Which of the following is a valid probability distribution?

Suppose a bag contains $3$ orange marbles and $5$ blue marbles. If you randomly pick one marble from the bag and then flip a fair coin, what is the probability of picking an orange marble and flipping tails?

Given that $x$ has a Poisson distribution with parameter $\lambda$, which of the following is the correct expression for the probability that $x$ equals $k$?

Which of the following correctly states the two requirements for a discrete probability distribution?

Which of the following steps is necessary in preparation for calculating a Spearman correlation coefficient between two variables?

If $60.9$ is what percent of $64$? Round your answer to the nearest tenth.

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 ____.