2. The tree diagram shows how voters registered themselves for a particulan coun

Question

2. The tree diagram shows how voters registered themselves for a particulan county and if they voted or not in the election they were registered to vote. Answer the questions based on the tree diagram. voted 0.55 Democraticvoted When answering probability questions, write each question in function notation as done in the examples, then equal sign, followed by the answer (1/2 a point of the grade). Round to four decimal places, 044 048 voted 0.39 Republicon Not voted 0.17 a. [3] If you choose a person at random what is the probability they voted. 0.82voted Not voted b. [3] If you chose a person at random what is the probability that this person is registered Republican that voted? c. [3] If a person voted, what is the probability that this person's voter registration is classified as other?

Explanation / Answer

Solution(a):

If a person choose random than probability of voted = (0.44*0.55) + (0.39*0.48) + (0.18*0.82) = 0.242 + 0.1872 + 0.1476 = 0.5768 or57.68%

Solution(b)

Probabiliy that this person is registered republican than voted we can directly see from tree diagram = 0.48 or 48%

Solution(c)
Given that person in voted so what is probability that this person'w voter registeration is classified as other = P(Other/Voted) = P(Other and Voted)/P(Voted) = (0.17*0.82)/0.5768 = 0.1394/0.5768 = 0.24167 or 24.167%

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