A Statistics Professor Has Noted from Past Experience That a Student

question 52

Short Answer

A statistics professor has noted from past experience that a student who follows a program of studying two hours for each hour in class has a probability of 0.9 of getting a grade of C or better, while a student who does not follow a regular study program has a probability of 0.2 of getting a C or better. It is known that 70% of the students follow the study program. Find the probability that a student who has earned a C or better grade, followed the program.

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Definitions:

Delegation

The process of assigning responsibility and authority to someone else in order to complete a clearly defined task while retaining accountability for the outcome.

Accountability

The requirement to show performance results to a supervisor.

Obligation

A duty or commitment that an individual or organization is bound to fulfill, often due to legal, moral, or social reasons.

Centralized

A system or organization structure where decision-making authority is concentrated at a single point, usually at the top hierarchical level.