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4. A local convenience store chain is running a promotion on the purchase of a s

ID: 1141407 • Letter: 4

Question

4. A local convenience store chain is running a promotion on the purchase of a six-pack of soda. When a customer purchases a six-pack of soda, they receive a $0.50 instant rebate. However, the customer must pay sales tax on the posted price, not including the rebate. In Las Vegas, sales tax is 8.00%. The average posted price for a six-pack of soda in Las Vegas from one of the convenience store locations is $4.99. The variance of the posted price for a six-pack of soda in LAs Vegas from one of the convenience store locations is 3.50.

a. What is the average final price paid for a six-pack of soda in Las Vegas from one of the convenience store locations?

b. What is the standard deviation of the final price paid for a six-pack of soda in Las Vegas?

Explanation / Answer

Answer: a. the average final price paid for a six-pack of soda in Las Vegas from one of the convenience store locations:

Average posted price for a six-pack of soda is = $4.99

Sales tax = 8.00%

So 8 % of $4.99 is 0.40

Price after sales tax is = $4.99 + $0.40

= $5.39

Instant rebate on six –pack of soda is = $0.50

So the average final price paid for six –pack of soda is = $5.39 - $0.50

                      = $4.89

Answer: b

The standard deviation is the square root of variance

S.D = variance

Variance = 3.50

S.D.= 3.50

S.D. = 1.87

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