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A Statistics Professor Has Noted from Past Experience That a Student

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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 if a student who has earned a C or better grade, he/she followed the program.


Definitions:

Directive Leadership

Spells out the what and how of subordinates’ tasks.

Task-oriented

Focused primarily on completing tasks and achieving objectives efficiently, often with emphasis on proper procedures and outcomes.

Production-centered

An approach or strategy focused primarily on the efficiency and output of the production process, often at the expense of other considerations.

Contingency Theories

A group of leadership theories suggesting that the best leadership strategy is contingent upon various internal and external situations.

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