After completing an inventory of three warehouses, a manufacturer of golf club shafts described its stock of 20,125 shafts with the percentages given in the table. Suppose a shaft is selected at random from the 20,125 currently in stock and the warehouse number and type of shaft are observed.

TYPE OF SHAFT Regular Stiff Extra Stiff 1 41 % 6 % 0%

Warehouse 2 10% 15% 4%

3 11% 7% 6%

a. List all the sample points for this experiment.

b. What is the set of all sample points called?

C. Let C be the event that thc shaft selected is from warehouse 3. Find P(C) by summing the probabilities of the sample points in C.

d. Let F be the event that the shaft chosen is an extra-stiff type. Find P(F).

e. Let A be the event that the shaft selected is from warehouse 1. Find P(A).

f. Let D be the event that the shaft selected is a regular type. Find P(D).

g. Let E be the event that the shaft selected is a stiff type. Find P(E).