4. Probability

$\text{Which of the following can be represented by a continuous random variable?}$

In probability theory, what is the sum of the probabilities for all possible outcomes in a sample space ($S$)? That is, what is $\sum _x^{\in }P\left(x\right)$ equal to?

Using a Frequency Distribution to Find Probabilities In Exercises 49-52, use the frequency distribution at the left, which shows the population of the United States by age group, to find the probability that a U.S. resident chosen at random is in the age range. (Source: U.S. Census Bureau)

49. 18 to 24 years old

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

Which of the following is not a voluntary response sample?

In Exercises 7-12, classify the statement as an example of classical probability, empirical probability, or subjective probability. Explain your reasoning.

11. The probability of rolling 2 six-sided dice and getting a sum of 9 is 1/9.

Which of the following best describes the likelihood that a given event will occur?

You Explain It! Independence Suppose a mother already has three girls from three separate pregnancies. Does the fact that the mother already has three girls affect the likelihood of having a fourth girl? Explain.

In the context of probability and statistics, how is a $\mathrm{sample}$ related to a $\mathrm{population}$?

Which of the following best describes Bayesian probability and its use in research?

Expected Value for the Florida Pick 3 Lottery In the Florida Pick 3 lottery, you can bet \$1 by selecting three digits, each between 0 and 9 inclusive. If the same three numbers are drawn in the same order, you win and collect \$500.

b. What is the probability of winning?

Given the data below, determine the probability that a person randomly selected from Group 1 will be wearing jeans.

In the context of probability, which of the following best describes a marginal distribution as compared to a conditional distribution?

Which of the following statements about covariance is correct?