A salesperson receives an annual salary of $6,000 plus 8% of the value of the orders she takes. The annual value of these orders can be represented by a random variable with a mean of $600,000 and a standard deviation of $180,000. Find the mean and standard deviation of the salesperson’s annual income.

Explanation:

1. Mean of the annual income:

The mean income is the expected income, which is: the sum of the annual salary (constant) plus the 8% of the mean value of the orders ($600,000):

2. Standard deviation of the annual income.

The standar deviation is a measure of  how extended the values are.

It means that the annual value of the orders will be around the mean plus or minus a number of standard deviations, depending on the precision you want.

The 8% of the the standard deviation is 8% ×  $180,000 = $14,400.

Since the $6,000 is a constant it does not modify the standard deviation.

These results are a consequence of the linearity of the mean and the standard deviation.

Call Y the salesperson salary, and X the valueof the orders. Then:

The linearity property states that:

And:

borrow money from the government then pay the government back 5k

according to the song of roland, the characteristics of an ideal knight are: loyalty to the king, skilled warriors and horseman, valiant, bold, courageous, strong and proud in battle. they should be determined to fulfil their duties and willing to die to make their people safe.