The Recreation Centre wants to survey its 560 members about the activities they prefer. There are 140 members in each of the four groups. The table displays the survey results.

Group Spin Cycle Aerobics Rock Climbing Weight Lifting Total

Male Adults 24 19 50 47 140

Female Adults 21 29 69 21 140

Male Teenagers 37 22 67 14 140

Female Teenagers 23 34 54 29 140

a) What is the probability that a member of any group will choose weight lifting?

b) Based on part "a" above, predict how many of the 560 members will choose weight lifting.

c) What assumptions did you make?

d) Based on the survey results, predict the probability that a member will choose weight lifting.

e) Compare your answers for parts c) and d). Explain any differences.