A Statistics Professor Has Noted from Past Experience That a Student

question 53

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

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Definitions:

Leaf Abscission

The process by which plants naturally shed their leaves as a part of seasonal changes, growth regulation, or in response to stress conditions.

Chlorophyll

A green pigment found in the chloroplasts of plants and algae, responsible for the absorption of light to provide energy for photosynthesis.

Anthocyanins

Class of red water-soluble plant pigments.

Petiole

The stalk that attaches the leaf blade to the stem in vascular plants, enabling nutrient and water transport between the leaf and the rest of the plant.