Gavin is analyzing the success of a newly launched game app. The game takes place on an island that's been overrun with zombies. When a player is on level one of the game, the population of zombies is
50,000. Each time the player advances to a new level, that population grows at a rate of 5%. Answer the
questions that follow to continue Gavin's analysis.
Part A
Use the initial zombie population and growth rate per level to complete the table and estimate the
population at level 5. Round to the nearest whole number, if necessary.
BI V x x
Font Sizes
AA
N
1
2
3
5
Game Level
Population
50,000
D

Aking and his army will attempt to capture a fortress. the left and right flanks break off from the main group to attack the west and east guard towers. suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. if both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. if, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. if both flanks fail, then the king's chance of capturing the fort drops to 20%. it turns out the king captures the fort. what is the probability that one, and only one, flank was successful (either the left, or the right, but not both)? (round your answer to 3 decimal places)