options: Use random sampling to draw inferences about a population.

Calculate expected values and use them to solve problems.

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

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

Use probability to evaluate outcomes of decisions.

Develop understanding of statistical variability.

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

Interpret linear models.

Understand independence and conditional probability and use them to interpret data.

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

Summarize and describe distributions.

Understand and evaluate random processes underlying statistical experiments.

Investigate patterns of association in bivariate data.

Draw informal comparative inferences about two populations.

Use the rules of probability to compute probabilities of compound events in a uniform probability model.
problem_activity: Problem 1
At a particular diner, everyone drinks coffee. However, some people drink their coffee with sugar, some with cream, some with both, and some with neither.
Describe the coffee preferences of the 30 people in the diner in the Venn diagram below. Be sure to label the circles appropriately.
10 people just like cream in their coffee.
13 people like sugar in their coffee; 8 of these people also like cream.
7 people like neither cream nor sugar in their coffee.
[IMG]
Problem 2
Below is a diagram that shows all of the members of the student council at a particular high school. Each member is represented by a labeled point. The students that are in circle “
$$J$$
” are juniors and the students in circle “
$$M$$
” are male.
[IMG]
Find
$$P(J)$$
.
Find
$$P(M)$$
.
Find
$$P(J \space and \space M)$$
.
Find
$$P(J \space or \space M)$$
.
Why does
$$ P(J \space or \space M)≠P(J)+P(M)$$
? Design a formula to calculate
$$P(J \space or \space M)$$
using any of the probability found in (a) through (c).


correct_option_index: 8

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