A store is giving out cards labeled 1 through 10 when customers enter the store. If the card is an even​ number, you get a 15​% discount on your purchase that day. If the card is an odd number greater than​ 6, you get a 40​% discount.​ Otherwise, you get a 25​% discount. The table shows the results of 400 customers. What is the relative frequency for each​ discount? Use pencil and paper. If the manager of the store wants approximately half of the customers to receive the 25​% ​discount, does this seem like an appropriate​ method?

Answer:

The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Step-by-step explanation:

If the store wants to give approximately half of the customers a 25% discount. They may need to adjust the discount criteria or randomly assign cards to customers to achieve the desired frequency.

The ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space, but in an actual experiment, is the relative frequency or experimental probability of an event.

To determine the relative frequency for each discount, we need to count the number of customers who received each type of discount and divide by the total number of customers.

Let's create a table to organize the data:

Discount                  Card Label                Number of Customers

15%                            Even                             120

40%                            Odd > 6                     30

25%                           Other                            250

Total                                                     400

The relative frequency for each discount is given by:

Relative frequency of 15% discount: 120/400 = 0.3 or 30%

Relative frequency of 40% discount: 30/400 = 0.075 or 7.5%

Relative frequency of 25% discount: 250/400 = 0.625 or 62.5%

To determine whether this discount method is appropriate to give approximately half of the customers a 25% discount, we need to compare the observed frequency of the 25% discount with the desired frequency.

Half of the 400 customers is 200. If we want approximately half of the customers to receive the 25% discount, then the observed frequency of the 25% discount should be close to 200.

However, we see that the observed frequency of the 25% discount is 250, which is higher than the desired frequency.

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