4.22: Expected Value of Random Variables | Exercise Solution of Probability & Statistics by Walpole

This is the exercise problems solution of the 9th edition of"Probability and Statistics for Engineers and Scientists by Walpole". In this video, I solve exercise problem 4.22 to find the expected value or average value of a random variable.
4.22 The hospitalization period, in days, for patients following treatment for a certain type of kidney disorder is a random variable Y = X + 4, where X has the density function
f(x) = 32/(x+4)3 , x 0,
0, elsewhere.
Find the average number of days that a person is hospitalized following treatment for this disorder.
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