Jose visits campus every Thursday evening. However, some days the parking garage is full, often due to college events. There are academic events on 35% of evenings, sporting events on 20% of evenings, and no events on 45% of evenings. When there is an academic event, the garage fills up about 25% of the time, and it fills up 70% of evenings with sporting events. On evenings when there are no events, it only fills up about 5% of the time. If Jose comes to campus and finds the garage full, what is the probability that there is a sporting event? A. Draw a tree diagram (marginal probabilities in the primary branch and conditional probabilities in the secondary branches). B. What is the probability that there is a sporting event when Jose finds the garage full?
Jose visits campus every Thursday evening. However, some days the parking garage is full, often due to college events. There are academic events on 35% of evenings, sporting events on 20% of evenings, and no events on 45% of evenings. When there is an academic
A. Draw a tree diagram (marginal probabilities in the primary branch and conditional probabilities in the secondary branches).
B. What is the probability that there is a sporting event when Jose finds the garage full?
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