Suppose that the random variable x has an exponential distribution with λ = 2. (a) Write the formula for the exponential probability curve of x. What are the possible values of x? 2. for x 2 20¹x (c) Find P(x ≤ 1). (Round your answer to 4 decimal places.) 0.8647 (d) Find P.25 ≤x≤ 1). (Round your answer to 4 decimal places.) AAK o^2x 0.4712 (e) Find Pix 2 2). (Round your answer to 4 decimal places.) 0.0183 (f) Calculate the mean, µ, the variance, o, and the standard deviation, 0, of the exponential distribution of x. (Round your answers to 2 decimal places.)

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