For a random variablex, 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 mu Subscript x

x and standard deviation sigma Subscript x

x, then themean, variance and standard deviation of y are given by the following formulas.

mu Subscript y Baseline equals a plus b mu Subscript x

y=a+bxsigma squared Subscript y Baseline equals b squared sigma squared Subscript x

2y=b22xsigma Subscript y Baseline equals |b| sigma Subscript x

y=|b|x

The mean annual salary for employees at a company is $38 comma 000

38,000. At the end of theyear, each employee receives a $1000

1000 bonus and a 3

3% raise(based onsalary). What is the new mean annual salary(including the bonus andraise) for theemployees?