inear Transformation of a Random Variable In Exercises 39 and 40, use the following
Chapter 4, Problem 39(choose chapter or problem)
inear Transformation of a Random Variable In Exercises 39 and 40, use the following information. For a random variable x, a new random variable y can be created by applying a linear transformation y = a + bx, where a and b are constants. If the random variable x has mean mx and standard deviation sx, then the mean, variance, and standard deviation of y are given by the formulas below. my = a + bmx sy 2 = b2 sx 2 sy = 0 b 0 sx The mean annual salary of employees at a company is $36,000. At the endof the year, each employee receives a $1000 bonus and a 5% raise (based onsalary). What is the new mean annual salary (including the bonus and raise)of the employees?
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