Suppose that fund-raisers 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 .45 .30 .20 .05 Three attempts were made to contact each graduate; a donation of $0 was recorded both for those who were contacted but who declined to make a donation and for those who were not reached in three attempts. Consider the variable x 5 amount of donation for the population of last year’s graduates of this university.

a. Construct a relative frequency histogram to represent the population distribution of this variable.

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

c. What is P(x $ 25)?

d. What is P(x . 0)?