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 uy and standard deviation o, then the mean, variance and standard deviation of y are given by the following formulas. Hy = a+bux oy= b°o²x oy lblox The mean annual salary for employees at a company is $36,000. At the end of the year, each employee receives a $3000 bonus and a 9% raise (based on salary). What is the new mean annual salary (including the bonus and raise) for the employees? The new mean annual salary is $

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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 u, and standard deviation ox, then the mean, variance and standard deviation of y are given by the following formulas.
Hy = a+ bux oy=b°o²x oy= lblox
The mean annual salary for employees at a company is $36,000. At the end of the year, each employee receives a $3000 bonus and a 9% raise (based on salary).
What is the new mean annual salary (including the bonus and raise) for the employees?
The new mean annual salary is $
Transcribed Image Text: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 u, and standard deviation ox, then the mean, variance and standard deviation of y are given by the following formulas. Hy = a+ bux oy=b°o²x oy= lblox The mean annual salary for employees at a company is $36,000. At the end of the year, each employee receives a $3000 bonus and a 9% raise (based on salary). What is the new mean annual salary (including the bonus and raise) for the employees? The new mean annual salary is $
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