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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

Respuesta :

anthougo

Answer:

The probability that there is a sporting event with the garage full is:

= 14%

Step-by-step explanation:

Data on college events on evenings:

Academic events = 35%

Sporting events = 20%

No events = 45%

With academic events, the garage fills up 25% of the time

With sporting events, the garage fills up 75% of the time

With no events, the garage fills up 5% of the time

The probability that there is a sporting event with the garage full when Jose comes to campus is given as:

Probability of sporting events x probability of garage filling up

= 20% * 70%

= 0.14

= 14%

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