Question: Museum membership. A museum offers several levels of membership, as shown in the table.

 Member               Amount of           Percent of
Category             Donation ($)          members

Individual                  50                     41

Family                     100                    37

Sponsor                   250                    14

Patron                     500                     7

Benefactor              1000                     1

a) Find the mean and standard deviation of the donations.

b) During their annual membership drive, they hope to sign up 50 new members each day. Would you expect he distribution of the donations for a day to follow a Normal model? Explain.

c) Consider the mean donation of the 50 new members each day. Describe the sampling model for these means (shape, center, and spread).