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Suppose random variable X has pdf f(x) = e(x-4) for x > 4, and 0 elsewhere. a) Given that X is less than 8.2,

Suppose random variable X has pdf f(x) = e(x-4) for x > 4, and 0 elsewhere. a) Given that X is less than 8.2, find the probability that X is at least 4.6. b) Find c such that P(X < c) = 0.98. Provide the (percentile) name and xa notation for c. c) Find the cdf of X.

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