An office building's fire safety system is designed as such: There are 15 smoke sensors and 5 temperature sensors, if 6 out of the 20 sensors trigger then the sprinklers will activate. It is known that each smoke sensor have 60% chance to trigger correctly, and each temperature sensor have 75% chance to trigger correctly. To pass an inspection, we must be at least 99% certain that in the event of a fire, the sprinklers will activate. Will this building pass the inspection