4.11 & 4.12: Solution | Cotinuous Expected Value, Problems of Probability & Statistics by Walpole

In this problem set of 4.11 and 4.12 of chapter four of the 9th edition of"Probability and Statistics for Engineers and Scientists by Walpole", I have solved exercise problems to find the expected value or average value of different random variables which are continuous.
4.11: The density function of coded measurements of the pitch diameter of threads of a fitting is
f(x) = 4/π(1+x2) , 0 x 1,
0, elsewhere.
Find the expected value of X.
4.12: If a dealer’s profit, in units of $5000, on a new automobile can be looked upon as a random variable X having the density function
f(x) = 2(1 − x), 0 x 1,
0, elsewhere,
find the average profit per automobile.
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[@usmantariq6415]

nice effort sir kindly upload next videos as early as possible.

[@muhammadsufian5230]

kindly make a video of all question of this chapter thanks ❤️

[@EngineersAcademy2020]

Nice job, go for circuit I and II also.

[@EngineeringTutorOfficial]

Thank you so much 👍

[@Betnachanal9104]

We expect soon the rest of ch. Answers.