The Willoughby Transit board has plans to elect a new president. It is believed that 60% of voters plan to vote for Jessica Wu, who is the incumbent (the person who is already in the position). The remaining voters plan to vote for Joseph Meyerhoffer, a new challenger who had been on a transit board in a neighboring municipality. Among Ms. Wu's intended voters, 30% favor the idea of updating the signal systems. Among Mr. Meyerhoffer's, 80% do. A voter is chosen at random from among registered voters.
A) Given that the person who was chosen plans to vote for Ms. Wu, what is the probability the person supports the signal stem's update?
B) Find the probability the chosen person plans to vote for Ms. Wu and they support the updating of the signal systems.
C) Find the probability that the person supports the signal system update.
D) Suppose the person chosen wanted the signal system update.....What's the probability that they planned to vote for Ms. Wu?
P.S. (please upvote if you find the answer satisfactory)
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