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When visiting Orlando, the probability that a tourist goes to the amusement park in Orlando is 0.47, the probability that the tourist goes to the water park in Orlando is 0.58, and the probability that the tourist goes to both the amusement park and the water park in Orlando is 0.1.
a) Let A be the event that a tourist visits the amusement park in Orlando and W be the event that a tourist visits the water park in Orlando. Draw a Venn diagram and label it properly with probabilities.
b)What is the probability that a randomly selected tourist goes to either the amusement park or the water park in Orlando?
c) What is the probability that a randomly selected tourist goes to neither the amusement park nor the water park in Orlando?
Find the variance and standard deviation for the two distributions above. Compare the variation of the data sets. Decide if one data set is more variable than the other.
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