The length of time X (measured in days) that a gadget lasts has the following probabilitydensity function:-2x2ex>0fx (x)= {|0, elsewhereIf the gadget lasts more than three days the profit is PhP1; otherwise, itincurs a loss of PHP2. Find the expected profit.

Here Given p.d.f for the lifetime of gadget

Answered: The length of time X (measured in days)…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 27T

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The length of time X (measured in days) that a gadget lasts has the following probability density function: -2x 2e x>0 fx (x)= { |0, elsewhere If the gadget lasts more than three days the profit is PhP1; otherwise, it incurs a loss of PHP2. Find the expected profit.