4. Probability

If you roll a fair $6$-sided die, what is the probability of the complement of the event $“$rolling a number less than $5$$”$?

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

In the context of a $p$ chart, which of the following best describes the assumption about the sample size for each subgroup?

Which of the following best defines a binary variable?

In probability, what is the probability of an event that occurs $16$ times out of $25$ equally likely trials?

In a survey, people are classified based on whether they can see the sunrise, the sunset, both, or neither. Which of the following best describes the joint relative frequency for the people who can only see the sunset?

In a standard deck of $52$ playing cards, what is the probability of not drawing a face card (Jack, Queen, or King) in a single random draw?

Suppose the probability that a flight is on time is $P(ext\{on\; time\})\; =0.70$, the probability that it is less than $5$ minutes late is $P(ext\{less\; than\; \}5ext\{\; min\; late\})\; =0.15$, and the probability that it is more than $5$ minutes late is $P(ext\{more\; than\; \}5ext\{\; min\; late\})\; =0.15$. What is the probability that the flight will be no more than $5$ minutes late (to 2 decimals)?

Which of the following best describes the difference between $univariate$ data and $bivariate$ data?

In the context of probability and statistics, what does the error (accuracy of a poll) expressed as a $\pm$ percentage most commonly represent?

Which of the following is classified as ordinal-level data?

In Exercises 21-28, find the probability and answer the questions.

Genetics: Eye Color Each of two parents has the genotype brown/blue, which consists of the pair of alleles that determine eye color, and each parent contributes one of those alleles to a child. Assume that if the child has at least one brown allele, that color will dominate and the eyes will be brown. (The actual determination of eye color is more complicated than that.)

b. What is the probability that a child of these parents will have the blue/blue genotype?