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 mu subscript xμx and standard deviation sigma subscript xσx, then the mean, variance and standard deviation of y are given by the following formulas. mu subscript y baseline equals a plus b mu subscript xμy=a+bμx sigma squared subscript y baseline equals b squared sigma squared subscript xσ2y=b2σ2x sigma subscript y baseline equals |b| sigma subscript xσy=|b|σx the mean annual salary for employees at a company is $31 comma 00031,000. at the end of the year, each employee receives a $40004000 bonus and a 44% raise (based on salary). what is the new mean annual salary (including the bonus and raise) for the employees?