Suppose that , is a continuous probability distribution.
a) Verify that the conditions are satisfied for f(x) to be a continuous probability distribution ( 5 points)
b) What is the probability that this random variable will take on a value between 3 and 4? ( 5 points)
c) What is the probability that the random variable will take on a value less than 3.5? Would the answer be the same if we asked for the probability that the random variable will take on a value less than or equal to 3.5? ( 5 points)
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