Belk Department Store Is Having a Special Sale This Weekend

Belk Department Store is having a special sale this weekend. Customers charging purchases of more than $50 to the Belk credit card will be given a special Belk lottery card. The customer will scratch the card, which will indicate the amount to be taken off the total amount of purchase. Listed below is the amount of the prize and the percent of the time that amount will be deducted from the total amount of the purchase. Determine the mean and standard deviation of the prize amounts.

A) Mean is $21, standard deviation is $26.66
B) Mean is $21, standard deviation is $710.50
C) Mean is $20, standard deviation is $25.00
D) Mean is $20, standard deviation is $26.66
E) Mean is $46.25, standard deviation is $710.50