Consider the following exponential probability density function. 1 f(x) = — - e-x/³ for x ≥ 0 3 (a) Write the formula for P(x ≤ xo). (3) p(x≤x0) = 1-e X (b) Find P(x ≤ 2). (Round your answer to four decimal places.) 0.3935 X (c) Find P(x > 3). (Round your answer to four decimal places.) 0.3679 (d) Find P(x ≤ 5). (Round your answer to four decimal places.) 0.7135 X (e) Find P(2 ≤ x ≤ 5). (Round your answer to four decimal places.)

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