# Transforming random A restaurant sells three sizes of shakes

Last updated: 5/24/2023

Transforming random A restaurant sells three sizes of shakes The small medium and large sizes each cost 2 00 3 00 and 3 50 respectively Let X represent the restaurant s income on a randomly selected shake purchase Based on previous data here s the probability distribution of X along with summary statistics X income P X Small 2 00 0 28 Medium Large 3 00 3 50 0 40 0 32 Mean x 2 88 Standard deviation x 0 59 During the last hour of business the restaurant offers a special that gives customers 1 off any size shake Assume that the special doesn t change the probability that corresponds to each size Let Y represent their income on a randomly selected shake purchase with this special pricing What are the mean and standard deviation of Y dollars