Suppose that fundraisers at a university call recent graduates to request donations for campus outreach
programs. They report the following information for last year's graduates.

Size of donation $0 $10 $25 $50
Proportion of calls 0.40 0.30 0.25 0.05

Three attempts were made to contact each graduate. A donation of $0 was recorded both for those who
were contacted but declined to make a donation and for those who were not reached in three attempts.
Consider the variable of donation for a person selected at random from the population of last
year's graduates of this university.

(a) Write a few sentences describing what donation amounts you would expect to see if the value of x
was observed for each of 1,000 graduates

You would expect roughly ______ of the graduates to donate nothing, roughly ______ to donate $10, roughly ______ to donate $25, and roughly _____ to donate $50. The frequencies would be close to, but not exactly, these values.
The four frequencies would add to _______

(b) What is the most common value of x in this population?