Question: Find a constant C such that p is a probability density function on the given interval, and compute the probability indicated. p(x) = Ce x

Find a constant C such that p is a probability density function on the given interval, and compute the probability indicated.

p(x) = Ce−xe−e−x on (−∞,∞); P(−4 ≤ X ≤ 4) This function, called the Gumbel density, is used to model extreme events such as floods and earthquakes.

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