Question 1113098: At one high school, the probability that a student is absent today, given that the student was absent yesterday, is 0.12. The probability that a student is absent today, given that the student was present yesterday, is 0.05. The probability that a student was absent yesterday is 0.1. Draw a tree diagram to represent the situation. What is the probability that a randomly selected student was present yesterday and today?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! At one high school, the probability that a student is absent today, given that the student was absent yesterday, is 0.12.
The probability that a student is absent today, given that the student was present yesterday, is 0.05.
The probability that a student was absent yesterday is 0.1.
Draw a tree diagram to represent the situation. What is the probability that a randomly selected student was present yesterday and today?
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From a root (point) you draw branches present(0.9) and absent(0.1)
From the present branch you draw present(0.95) because absent is (0.05)
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Ans: P(present| present) = 0.95*0.9 = 0.855
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Cheers,
Stan H.
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