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Assume that for a certain stock, its price today is $50. Further assume that for each day,the stock price on the next day can either go up by $10 with probability 40% or go down by $10 with probability 60%.
Call today day 0, consider the eventsA = (1st day's price is $40);B = (2nd day's price is $50);C = (the stock price goes up by $10 on the 2nd day).
(a) Is A independent of C?(b) What is the probability that the 2nd day's stock price is $50 given that the 1st day's price is $60?(c) What is P(B)?(d) Is A independent of B?
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