The number y, decreased by 12
Answer:
a) 
b) First we need to calculate the variance given by this formula:

And the deviation would be:

c) 
And using the cdf we got:

d) 
Step-by-step explanation:
For this case we define the random variable X who represent the customers charge, and the distribution for X on this case is:

Part a
For this case the average is given by the expected value and we can use the following formula:

Part b
First we need to calculate the variance given by this formula:

And the deviation would be:

Part c
For this case we want to find the percent between 600 and 889, so we can use the cumulative distribution function given by:

And we can find this probability:

And using the cdf we got:

Part d

And using the cdf we got:

Simply find 6% of $145.50
That is 6/100 * 145.5
= 0.06 * 145.5. Use a calculator
= 8.73.
Sales tax is $8.73. C.
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