Find a constant C such that p is a probability density function on the given interval and compute the probability indicated.p(x)=C =Ce-x1 + e-2x(For a constant C, express numbers in exact form. Use symbolic notation and fractions where needed. For a probability, usedecimal notation. Give your answer to four decimal places.)P(X ≤6) ≈on (-∞, ∞)

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Answered: Find a constant C such that p is a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Consider the following exponential probability density function. 1 -x/4 f(x) = -e (a) Write the formula for P(x ≤ xo). for x ≥ 0 (b) Find P(x ≤ 2). (Round your answer to four decimal places.) (c) Find P(x ≥ 4). (Round your answer to four decimal places.) 0.3679 (d) Find P(x ≤ 5). (Round your answer to four decimal places.) (e) Find P(2 ≤ x ≤ 5). (Round your answer to four decimal places.)
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