Question: 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

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

y=a+bx2y=b22xy=|b|x

The mean annual salary for employees at a company is $35,000. At the end of theyear, each employee receives a $5000 bonus and a 6% raise(based onsalary). What is the new mean annual salary(including the bonus andraise) for theemployees?

The new mean annual salary is _____$

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