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....

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.