b) What is the probability that a randomly selected student has all passing grades? Be sure to show your work and label your answer with the appropriate notation. d) If a randomly selected student has...

Extracted text: b) What is the probability that a randomly selected student has all passing grades? Be sure to show your work and label your answer with the appropriate notation. d) If a randomly selected student has all passing grades, what is the probability that they are involved in extracurricular activities? Be sure to show your work and label your answer with the appropriate notation.


Extracted text: When students are involved in extracurricular activities, it is believed that they perform better academically. Suppose at a local high school about 45% of students are involved in extracurriculars. Of those students who are involved, 98% have all passing grades. Of the students who are not involved, 85% have all passing grades. a) Correctly draw and label a tree diagram will all appropriate probabilities. Upload a photo of your handwritten work for this part. b) What is the probability that a randomly selected student is involved and has all passing grades? Be sure to label your answer with the appropriate notation. tiPlex 504