options: Draw informal comparative inferences about two populations.

Use random sampling to draw inferences about a population.

Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

Use probability to evaluate outcomes of decisions.

Investigate patterns of association in bivariate data.

Interpret linear models.

Summarize, represent, and interpret data on two categorical and quantitative variables.

Use the rules of probability to compute probabilities of compound events in a uniform probability model.

Investigate chance processes and develop, use, and evaluate probability models.

Understand and evaluate random processes underlying statistical experiments.

Summarize and describe distributions.

Summarize, represent, and interpret data on a single count or measurement variable.

Calculate expected values and use them to solve problems.

Develop understanding of statistical variability.

Understand independence and conditional probability and use them to interpret data.
problem_activity: Problem 1
You are in a diner and want to know if choosing cream or sugar are independent events, that is, if one depends on the other. Below is a Venn diagram that represents the number of people in the diner one morning. A random person is chosen.
[IMG]
Is this random person more likely to have cream in his coffee if he has sugar? Calculate the probability.
Is this random person more likely to have sugar in his coffee if he has cream? Calculate the probability
Problem 2
A coin is tossed and a single six-sided die is rolled. If landing on heads is represented by
$$H$$
and rolling a
$$3$$
is represented by
$$R$$
, determine if the following is true:
$$P(H \space and \space 3)=P(H)\cdot P(3)$$


correct_option_index: 14