Suppose random variable X has probability density function (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) Determine c such that P(X < c) = 0.98. Also provide the (percentile) name and xa notation for c. c) Find the cumulative distribution function (cdf) of X. (Remember to determine the cdf F(x) for all real values x, not just those from the support.)