Surviving the Titanic - Part 1

The Titanic had a total capacity (passengers + crew) of 3353. If she carried the following lifeboats:

• 14 $\times$ 65-passenger wooden lifeboats,
• 4 $\times$ 47-passenger collapsable canvas lifeboats, and
• 2 $\times$ 40-passenger emergency cutters,

how many people would we expect to go down with the ship in a catastrophe?

Details and assumptions

If you enjoyed this problem, you might want to try Part 2 and Part 3.