Female students at a certain university participate in sports with the following probabilities:

Soccer=0.30 Both Soccer and Basketball=0.08

Basketball=0.20 Both Soccer and Tennis=0.10

Tennis=0.20 Both Basketball and Tennis=0.05

All three sports=0.02

a. Construct the associated Venn Diagram with ALL probabilities specified

You select one female student at random for an interview, determine the probability she plays

b. at least one of these sports

c. exactly one of the three sports

d. exactly two of the three sports