CLO #1 - Distinguish the concept, types, and the role of descriptive and inferential statistics; qualitative or quantitative; discrete or continuous; and the values associated with the practice of statistics.

CLO #2 - Given a managerial problem and accompanying data set, construct graphs (following principles of ethical data presentation), and calculate and interpret numerical summaries appropriate for the situation. Use the graphs and numerical summaries as aids in determining a course of action relative to the problem at hand.

CLO #3 - Given a managerial problem, utilize basic probability concepts and standard probability distributions; for example, binomial, normal, as is appropriate, to formulate a course of action that addresses the practical examples.

Please explain conditional probability accompanied by an example based on a contingency table. Explain how the notion of conditional probability yields the relation for the probability of the intersection of independent events.

Please explain Bayes' theorem, accompanied by an example.

Table 1

Demographic characters of college students in the USA whose ages are at least 18 in 1995.

Please provide some in-depth explanations. Thanks again!

DS CDCData TABLE 1. Demographic Characteristics of Undergraduate College Students Aged >=18 Years, by Age Group - United States, National College Health Risk Behavior Survey, 1995 Age Group (%) Category Total (%) 18-24 Years >=25 Years Total 63.6 36.4 Sex Female 55.5 52.0 61.8 Male 44.5 48.0 38.2 Race/ethnicity White 72.8 70.9 76.1 Black 10.3 10.5 9.6 Hispanic 7.1 6.9 7.4 Other 9.9 11.7 6.9