A university regularly conducts a satisfaction survey among

A university regularly conducts a satisfaction survey among its students. It uses the same questionnaire each year to measure satisfaction evolution. Students from Year 1 represent 45% of the total number. Year 2 students represent 35%. and Year 3 represent 20%. Students in Year 1 have indicated a satisfaction of 85%: students from Year 2, 90%: and students from Year 3. 95%. Develop a probability tree showing all marginal, conditional, and joint probabilities. Develop a joint probability table. What is the probability that a student selected at random is satisfied?

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