The following table describes the adult population of a small suburb of a large southern city. A marketing research firm plans to randomly select onc adult from the suburb to evaluate a new food product. For this experiment the nine age-income categories are the sample points. Consider the following events:

A: (Person is under 25)

B: (Person is between 25 and 45)

C: (Person is over 45)

D: (Person has income under $20,000)

E: (Person has income of $20,000-$50,000)

F: (Person has income over $50,000)

Convert the frequencies in the table to relative frequencies and use them to calculate the following probabilities:

a. P(B)

b. P(F)

c. P(CnF)

d. P(BUC)

e. P(AC)

f. P(ACnF)
g. Consider each pair of events (A and B, A and C, etc.) and list the pairs of events that are mutually exclusive. Justify your choices.