4. Probability

Define each of the following.

c. Event

In computing classical probabilities, all outcomes must be equally likely. Explain what this means.

Pick 4 The Illinois Lottery’s PICK 4 game is similar to PICK 3, except a player must match a sequence of four repeatable numbers, ranging from 0 to 9, in exact order (for example, 5–8–5–1). With a single ticket, what is the probability of matching the four winning numbers?

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 ____.