4.17 & 4.18: Solution | Expectated Value Problems, Exercise of Probability & Statistics by Walpole

In this problem set of 4.17 and 4.18 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 have continuous density functions, and transformed into another domain
4.17: Let X be a random variable with the following probability distribution:
x: −3 6 9
f(x): 1/6 1/2 1/3
Find μg(X), where g(X) = (2X + 1)2.
4.18: Find the expected value of the random variable g(X) = X2, where X has the probability distribution of Exercise 4.2.
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